Question

Answer 1

a) \(2x\left(3x^2-4x+5\right)=6x^3-8x^2+10x\)

b) \(\left(2x^2-5\right)\left(5+2x^2\right)=\left(2x^2\right)^2-5^2=4x^4-25\)

c) \(\left(x-2\right)\left(x^2-2x+3\right)=x^3-2x^2+3x-2x^2+4x-6=x^3-4x^2+7x-6\)

Answer 2

a: \(2x\left(3x^2-4x+5\right)=6x^3-8x^2+10x\)

b: \(\left(2x^2-5\right)\left(2x^2+5\right)=4x^4-25\)

c: \(\left(x-2\right)\left(x^2-2x+3\right)\)

\(=x^3-2x^2+3x-2x^2+4x-6\)

\(=x^3-4x^2+7x-6\)