SOLUTION: Multiply and Divide Polynomials - including FOIL I want to make sure that my answers are correct. Please let me know. (ab)(ab)= my answer is A^2+ b^2 + ab + ba With this

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Multiply and Divide Polynomials - including FOIL I want to make sure that my answers are correct. Please let me know. (ab)(ab)= my answer is A^2+ b^2 + ab + ba With this       Log On


   

Question 257289: Multiply and Divide Polynomials - including FOIL
I want to make sure that my answers are correct. Please let me know.
(ab)(ab)= my answer is A^2+ b^2 + ab + ba
With this one, I just want to make sure that ab & ba aren't able to be combined. I don't think so, but please let me know.

(y-6)(y+3) = my answer is y^2 - 3y - 18
I'm pretty confident about this one.
Last one:
Find the area of a rectangle

one side is 9x and the other side is 3x^2 + 2
so, a= l X w
27x^3 + 18x
I think I am right.
Thank you!!!
Found 2 solutions by ankor@dixie-net.com, jim_thompson5910:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply and Divide Polynomials - including FOIL
I want to make sure that my answers are correct. Please let me know.
(ab)(ab)= my answer is A^2+ b^2 + ab + ba
With this one, I just want to make sure that ab & ba aren't able to be combined. I don't think so, but please let me know.
:
ab*ab = a^2b^2 and that's it, a big mistake on my part
:
:
(y-6)(y+3) = my answer is y^2 - 3y - 18
I'm pretty confident about this one.
:
This is right!
:
:
Last one:
Find the area of a rectangle
one side is 9x and the other side is 3x^2 + 2
so, a= l X w
27x^3 + 18x
:
Right also!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

If it's %28ab%29%28ab%29, then %28ab%29%28ab%29=%28a%2Aa%29%28b%2Ab%29=a%5E2b%5E2.


If it's %28a%2Bb%29%28a%2Bb%29, then...


%28a%2Bb%29%28a%2Bb%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28a%29%2Bb%29%28highlight%28a%29%2Bb%29 Multiply the First terms:%28a%29%28a%29=a%5E2.


%28highlight%28a%29%2Bb%29%28a%2Bhighlight%28b%29%29 Multiply the Outer terms:%28a%29%28b%29=ab.


%28a%2Bhighlight%28b%29%29%28highlight%28a%29%2Bb%29 Multiply the Inner terms:%28b%29%28a%29=ab.


%28a%2Bhighlight%28b%29%29%28a%2Bhighlight%28b%29%29 Multiply the Last terms:%28b%29%28b%29=b%5E2.


---------------------------------------------------
So we have the terms: a%5E2, ab, ab, and b%5E2


a%5E2%2Bab%2Bab%2Bb%5E2 Now add every term listed above to make a single expression.


a%5E2%2B2ab%2Bb%5E2 Now combine like terms.


So %28a%2Bb%29%28a%2Bb%29 FOILs to a%5E2%2B2ab%2Bb%5E2.


In other words, %28a%2Bb%29%28a%2Bb%29=a%5E2%2B2ab%2Bb%5E2.

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# 2





%28y-6%29%28y%2B3%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28y%29-6%29%28highlight%28y%29%2B3%29 Multiply the First terms:%28y%29%28y%29=y%5E2.


%28highlight%28y%29-6%29%28y%2Bhighlight%283%29%29 Multiply the Outer terms:%28y%29%283%29=3y.


%28y%2Bhighlight%28-6%29%29%28highlight%28y%29%2B3%29 Multiply the Inner terms:%28-6%29%28y%29=-6y.


%28y%2Bhighlight%28-6%29%29%28y%2Bhighlight%283%29%29 Multiply the Last terms:%28-6%29%283%29=-18.


---------------------------------------------------
So we have the terms: y%5E2, 3y, -6y, -18


y%5E2%2B3y-6y-18 Now add every term listed above to make a single expression.


y%5E2-3y-18 Now combine like terms.


So %28y-6%29%28y%2B3%29 FOILs to y%5E2-3y-18.


In other words, %28y-6%29%28y%2B3%29=y%5E2-3y-18.


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# 3

A=LW Start with the area equation.


A=9x%283x%5E2%2B2%29 Plug in the given length and width.


A=9x%283x%5E2%29%2B9x%282%29 Distribute


A=27x%5E3%2B18x Multiply


So the area is 27x%5E3%2B18x square units.