Mulitiply (a^2 + 2ab – b^2)(a^2 – 7ab + b^2)?

Question

Please HELP!

Answer 1

a^4 - 7a³b + a²b²
____2a³b - 14a²b² + 2ab³
________ - a²b² ___7ab³___- b^4

a^4 - 5a³b - 14a²b² + 9ab³ - b^4

Answer 2

(a^2 + 2ab - b^2)(a^2 - 7ab + b^2)

so what you need to do is distribute each number in the right parenthesese with each number in the left.

a^4 - 7a^3b + a^2b^2 +2a^3b - 14a^2b^2 + 2ab^3 - b^2a^2 + 7ab^3 - b^4

Now you can simplify, first understand that a^2b^2 and -a^2b^2 cancel out because they are opposites (negative and positive)

a^4 - 5a^3b - 14a^2b^2 +9ab^3 - b^4
And this is the final answer

Answer 3

(a^2 + 2ab - b^2)(a^2 - 7ab + b^2)
=a^4 - 7a^3b + a^2b^2+2a^3b-14a^2b^2+2ab^3+a^2b^2-7ab^3+b^4
=a^4 - 5a^3b - 12a^2b^2 - 5ab^3 + b^4

Answer 4

a^4 - 5a^3b - 14a^2b^2 + 9ab^3 - b^4

Answer 5

Kudos to Butchy there. It's not that hard, just do a kind of Foil thing, it won't take long.

Answer 6

If I answer this, all you are learning is how to be a leech. Carry you own weight. Do it yourself. I'm sure your teacher provides time to answer questions. He/she is who you should be asking for help.

Answer 7

(a^4)-(5a^3)b-14(a^2)(b^2)+9(a^2)(b^3)-(b^4)

Answer 8

No, you should have been paying attention in class. 2 points please

Answer 9

can be reduced to :

(2a+2b+6) (3a-7-b)

I think

SO it would be:
5a+3b+13=SOmething...................................

Answer 10

twenty eleven.