Expand the following expression

Question

Expand:

(4x-3x^2)^2

Answer 1

we know \( (a-b)^2=a^2-2ab+b^2 \)

let \( a=4x \) and \( b=3x^2 \).

\( (4x-3x^2)^2=(4x)^2-2(4x)(3x^2)+(3x^2)^2 \)

\( (4x-3x^2)^2=16x^2-24x^3+9x^4=9x^4-24x^3+16x^2 \)