Questions on Algebra: Distributive, associative, commutative properties, FOIL answered by real tutors!

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Question 169393: How Can i write an expression that is equivalent to 3x-(4+2x) ?
Click here to see answer by gonzo(654)

Question 169489: factor:
128r^2+448r+392
Click here to see answer by checkley77(12844)

Question 169587: 49x^2-49
Click here to see answer by Mathtut(3670)

Question 169803: simplify
(1+1/x) / (1-1/x)
Click here to see answer by jim_thompson5910(35256)

Question 169795: Simplify
x^2+x-2/x^2-1
Click here to see answer by jim_thompson5910(35256)

Question 169797: simplify
x^2+2xy+y^2/x+y * x^2-y^2/x-y
Click here to see answer by jim_thompson5910(35256)

Question 169991: factor (a^(2n))-1
Click here to see answer by jim_thompson5910(35256)

Question 170178: The questions state to simplify. Please review and help me to understand where I went wrong. Thank you, Jackie
1. 2y + 3 -1/3(6x + 9y) + x
I simplified this way: 1/3(6x)=2x 1/3(9y)= 3y then 2y +3 -2x +3y +x= 2y+3y-2x+x+3= 5y+3x+3
2. 5x + 0(x +y) -3y +14 -3(y -x)
I simpified this way: 0(x)=x 0(y)=y 3(y)=3y 3(x)=3x then 5x+x+y-3y+14-3y-3x= 5x+1x-3x+1y-3y+14=3x-2y+14
Thank you for reviewing and correcting my work, Jackie
Click here to see answer by Earlsdon(6294)

Question 170735: factor x*x*x+64
Click here to see answer by jim_thompson5910(35256)

Question 170737: Use the distributive property to remove the parentheses from the following expression:
-(5y - x - 5)
Click here to see answer by jim_thompson5910(35256)

Question 170773: (a+2b)(a+3b)
Click here to see answer by jim_thompson5910(35256)

Question 170783: can you please help me with this math equation? (x^2-y^2)(x^2+y^2)
Click here to see answer by jim_thompson5910(35256)

Question 170967: Please help me solve this problem by using the distrubutive property:
5(x-3)+4(x+3)=3(x-1)
Click here to see answer by jim_thompson5910(35256)

Question 170967: Please help me solve this problem by using the distrubutive property:
5(x-3)+4(x+3)=3(x-1)
Click here to see answer by Mathtut(3670)

Question 171357: -41 + 5x= 99
5x = 140
What was done to each side of the first equation to arrive @ the second?

Click here to see answer by jim_thompson5910(35256)

Question 171466: How do I solve this equation?
9+3/x-3=x/x-3
Click here to see answer by stanbon(75887)

Question 171463: Multiplication of Rational Expression. Can someone help me understand this complicated stuff?
x^2/x^2-4 * x^2-5x+6/x^2-3x
I think I have to cancell out some things like the x square before I start. Right?
Click here to see answer by Alan3354(69443)

Question 171488: How do I divide? Do I cancell out first?
fraction 1: 12-4x/x^2-1
divided by
fraction 2: 9-x^2/x^2+4x+3

Click here to see answer by monika_p(71)

Question 171486: What are the steps to determine the restricted values?
x^2-4x-21/x^2+16
Click here to see answer by Mathtut(3670)

Question 171490: Can I please get help dividing this? I tried it a few times and keep getting confused.
x^3+125/x^3-125 divided by x^2-5x+25/x-5
Click here to see answer by Mathtut(3670)

Question 171490: Can I please get help dividing this? I tried it a few times and keep getting confused.
x^3+125/x^3-125 divided by x^2-5x+25/x-5
Click here to see answer by monika_p(71)

Question 171487: How do I simplify?
x^2-16/-8-2x
Click here to see answer by Mathtut(3670)

Question 171465: Simplify:
2y^3-6y^2-8y/4y^3-8y^2-32y
Step by step, how do I simplify this. Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 171485: How do I determine the restricted values?
x-8/x^2-x
Click here to see answer by solver91311(24713)

Question 171485: How do I determine the restricted values?
x-8/x^2-x
Click here to see answer by monika_p(71)

Question 171484: Determine the resticted value(s). How do I go about doing so?
8x/x-4
Click here to see answer by nerdybill(7384)

Question 171484: Determine the resticted value(s). How do I go about doing so?
8x/x-4
Click here to see answer by monika_p(71)

Question 171464: Multiplication of Rational Expression
2x+2y/x * xy-y^2/2x^2y-2y^3
Click here to see answer by monika_p(71)

Question 171535:

Factor each expression completely.
1. 12x2 + 6x + 18
3(2x2 + x + 3)
6(2x2 + x + 3)
3(2x � 1)(x + 3)
6(2x � 1)(x + 3)
2. m2 + 11m + 18
(m � 2)(m + 9)
(m + 2)(m + 9)
(m � 3)(m + 6)
(m + 3)(m + 6)
3. x2 � 14x � 15
(x � 5)(x + 3)
(x + 5)(x � 3)
(x � 15)(x + 1)
(x + 15)(x � 1)
4. x2 � 13x + 42
(x + 6)(x � 7)
(x � 6)(x + 7)
(x � 6)(x � 7)
(x + 6)(x + 7)
5. 64x2 + 144x + 81
(8x � 9)2
(8x + 9)2
2(8x + 9)
(8x + 9)(8x � 9)
6. 3x2 + 5x � 50
(x � 25)(3x + 2)
(3x � 25)(x + 2)
(x � 10)(3x + 5)
(3x � 10)(x + 5)
7. 5k2 � 125
(k � 5)2
5(k � 5)2
(k + 5)(k � 5)
5(k + 5)(k � 5)
8. 15n2 � 8n +1
(5n + 1)(3n + 1)
(5n � 1)(3n � 1)
(5n + 1)(3n � 1)
(5n � 1)(3n + 1)

Click here to see answer by jim_thompson5910(35256)

Question 171587: I know this problem is long but can someone help me with solving this problem step by step. Thank you!
3x^2+5x-2/3x^2-10x+3 * 2x^2-7x+3/2x^2+3x-2
Click here to see answer by Alan3354(69443)

Question 171586: How do I simplify this problem?
x^2-16/-8-2x
Click here to see answer by monika_p(71)

Question 171585: Determine the restricted value(s).
x^2-4x-21/x^2+16
Click here to see answer by monika_p(71)

Question 171626: Can someone help me with dividing?
(2x+14)/(7x) Divided by (2x^2+14x)
Click here to see answer by nerdybill(7384)

Question 171627: Adding & Subtracting
(5/x) - (4/x+1) + (5/x^2+x)
Is the answer (6/x^2+2x-1)
Click here to see answer by Earlsdon(6294)

Question 171529: 25x(x3 +5)(2 -6)
Click here to see answer by midwood_trail(310)

Question 171489: Dividing:
2x+14/7x divided by (2x^2+14x)
Click here to see answer by ankor@dixie-net.com(22740)

Question 171621: Need help solving this equation.
x-2/x -x-3/x-6 = 1/x
Click here to see answer by ankor@dixie-net.com(22740)

Question 171794: Need help with solving this equation.
2=(x+3)/(x+2)+5/(x^2-x-6)
Click here to see answer by jim_thompson5910(35256)

Question 171793: Can someone please help me with the complex fraction?
(1/x-x^2)-(1/x^2+x)/(1/x+1)+(1/x^2-1)
Click here to see answer by jim_thompson5910(35256)

Question 171793: Can someone please help me with the complex fraction?
(1/x-x^2)-(1/x^2+x)/(1/x+1)+(1/x^2-1)
Click here to see answer by Earlsdon(6294)

Question 171833: Need help determining the restricted values.
(x^2-4x-21)/(x^2+16)
I think this is the answer.
x^2+16=0 subtract 16 to both sides
x^2=-16
Click here to see answer by jim_thompson5910(35256)

Question 172206: �A man wanted to get into his work building, but he had forgotten his pin-code. However, he did remember five clues.

These are what those clues were:
 The fifth number plus the third number equals 14.
 The fourth number is one more than the second number.
 The first number is one less than twice the second number.
 The second number plus the third number equals 10.
 The sum of all five numbers is 30.

What were the five numbers and in what order?�

Click here to see answer by Mathtut(3670)

Question 172276: USE THE DISTRIBUTIVE PROPERTY TO WRITE AN EQUIVALENT EXPRESSION FOR -3(5.1x-3.7y)
Click here to see answer by Mathtut(3670)

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