Question

Expand and simplify. Use the short cut method, where possible.
a) (3w+2)^2-(w-7)^2
b) 2(n+5)^2-3(2n+6)(2n-6)
c) 3(2x-5)(2x+5)-(3x-4)^2

Answer 1

for all the scenarios following property can be used

\((a+b)(a-b) = a^2 - b^2\)

keep in mind also that
sometimes \(a\) or \(b\) can be a whole different expression like \(a = 5n+7m\)

Answer 2

@BAdhi do i have to use foil?

Answer 3

Yes, use foil.