How do you multiply 12a(a + b)(a + -1b)12a(a+b)(a+1b)?

1 Answer
Dec 12, 2017

-1b=-b1b=b
You get
12a(a+b)(a-b)12a(a+b)(ab)
The identity literally is:
(a+b)(a-b)=a^2-b^2(a+b)(ab)=a2b2
You get
12a(a^2-b^2)12a(a2b2)
You should know that:
12a(a^2-b^2)!=12axxa^2-b^212a(a2b2)12a×a2b2
Distribute it,
a(x+- xx div y)=axx x +-xx div axxya(x±×÷y)=a×x±×÷a×y
The +-xxdiv±×÷ means it could be anything in between
By using distributive property
12axxa^2-12axxb^212a×a212a×b2
Remember,
a^mxxa^n=a^(m+n)am×an=am+n
12(a^(1+2)) - 12ab^212(a1+2)12ab2
You get
12a^3-12ab^212a312ab2