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

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Question 172653: Which one of the properties is mostly commonly used in Algebra and why?
Click here to see answer by Mathtut(3670)

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 jvanfossen(1)

Question 166709: multiply (a+b)(a2+ab+b2)
Key
a2 = a squared
b2 = b squared
Click here to see answer by jim_thompson5910(35256)

Question 173210: Factorize 10x^2-x-3
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Question 173395: I need help big time solving this problem. I despise fractions so any help would be greatly appreciated.

I have to combine the like terms and simplify the problem. Please help me! Also, can you please show the work so I can fully understand it?
Click here to see answer by Edwin McCravy(20054)

Question 173512: distribute: 5(2x-8y)
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Question 173750: what is the property term for 8/8=1? 5/?=5
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Question 173885: 7b+25-4b
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Question 174212: I need help in solve this problem. 5x^2+50x+125
Doris S.
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Question 174349: 8b^2+24b+18
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Question 174347: 21x^2+2x-3= (7x+3)(3x-1)
Check: (7x+3)(3x-1)=7x(3x)+7x(-1)+3(3x)+3(-1)=21x^2-7x+9x-3-21^2+2x-3
Click here to see answer by mattiewal(1)

Question 174344: 18z+45+22
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Question 174345: h^2-9hs+9s^2
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Question 174385: x�-36=0
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Question 174383: 2w(4w+1)=1

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Question 174384: 2w(4w+1)=1

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Question 174382: 2h�-h-3=0

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Question 174386: (x-3)�+(x+2)�+17
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Question 174381:

m^4-n^4

8b�+24b+18
3x��18x-48
9x�+4y�

Click here to see answer by stanbon(75887)

Question 174741: john wrote the number sentence below.
(3+5)+9=3+(5+9)
which property of whole numbers is represented by john's number sentence?
My question: what is the property of whole numbers?
Click here to see answer by Mathtut(3670)

Question 174836: how do i simplify (x^2+16)(x^2-16)?
Click here to see answer by jim_thompson5910(35256)

Question 174837: How do I simplify (15x^2-24x+9) divided by (3x-3)?
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Question 175436: USE FOIL: hello i do not get this at all. I'm lousy at math. can you please help me and show me how you got it. Thanks

8) (7-2y)(10-3y)

9) (5z-2)(5z+2)

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Question 175861: 9) (5z-2)(5z+2)....use foil....need some help here...thanks
Click here to see answer by stanbon(75887)

Question 175861: 9) (5z-2)(5z+2)....use foil....need some help here...thanks
Click here to see answer by dini(5)

Question 175932: help....use foil
115.) (2-3x6)�

simplify
142.)12) (x�-y�) - (-6x�+x�y-xy�+2y�)

Click here to see answer by stanbon(75887)

Question 176132: Please help!
1. Using one of the laws of exponents, prove that nay number raised to the power 0 is 1.
2. Using FOIL, simplify the expression (3x+2)(3x-2). Show that a particular factoring formula leads to the same answer.
3. If a fourths-sdegree polynomial is multiplied by third-degree polnomial, what degree of the product? Explain your reason and provide examples to support your explanation.
4. Think of a condition under which the product of any two binomials is a binomals. You can support your answer with the help of one of the below.

Is "2.1273685 ...." a rational or irrational number? Explain
Click here to see answer by gonzo(654)

Question 176141: Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime, Show all stages of factoring separately(i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).
2x^3-26x^2+80x

Thanks
Click here to see answer by jim_thompson5910(35256)

Question 176365: add 6 to a number
Click here to see answer by Mathtut(3670)

Question 176941: Hello wonderful ones. I have yet another problem.
How would you factor
3x^2+22xy+24y^2
Your help is so appreciated.
Click here to see answer by jim_thompson5910(35256)

Question 176956: Find the product: (b+2)(b+6)
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Question 176958: Find the product: (2x+6)(x-10)
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Question 176957: Find the product: (7x+1)(x^2+1)
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Question 176959: Evaluate: (a+b)^2
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Question 176959: Evaluate: (a+b)^2
Click here to see answer by dini(5)

Question 176960: Multiply: (a-2b)(a+2b)
Click here to see answer by jim_thompson5910(35256)

Question 176960: Multiply: (a-2b)(a+2b)
Click here to see answer by dini(5)

Question 176961: Multiply: (g-6h)(g-6h)
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Question 177191: Use the Distributive Property to remove the parentheses from the following expression.
-3(-4w^3+3+5t^2)
Click here to see answer by EMStelley(208)

Question 177315: Simplify ( 3x + 4y) ( 3x � 4y)
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Question 177315: Simplify ( 3x + 4y) ( 3x � 4y)
Click here to see answer by dini(5)

Question 177313: Multiply ( x + 1/3 )^2
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Question 177313: Multiply ( x + 1/3 )^2
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Question 177705:
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