Question

Wyznacz iloczyn.

a) (x+1)²(x-1)²

b) (2x+3)²(2x-3)²

c) (x²-x)²(x²+x)²

d) (2x³+x²)²(x²-2x³)²

Answer 1

A)(x+1)^2(x-1)^2=(x^2-1)^2=x^4-2x^2+1
b)(2x+3)^2(2x-3)^2=(4x^2-9)^2=16x^4-72x^2+81
c)(x^2-x)^2(x^2+x)^2=(x^4-x^2)^2=x^8-2x^6+x^4
d)(2x^3+x^2)^2(x^2-2x^3)^2=(x^2+2x^3)^2(x^2-2x^3)^2=(x^4-4x^6)^2=x^8-8x^10+16x^12