Производная (x+3)^2*(x-5)^2

Question

Производная (x+3)^2*(x-5)^2

Answer 1

(x+3)²*(x-5)²=((x+3)(x-5))²=(x²+3x-5x-15)²=(x²-2x-15)²

((x²-2x-15)²)' =2(x²-2x-15) * (2x-2)=(4x-4)(x²-2x-15)=
=4x³-4x²-8x²+8x-60x+60=4x³-12x²-52x+60