Question

Answer 1

15:

a: \(2\left(x-1\right)^2-4\left(x+3\right)^2+2x\left(x-5\right)\)

\(=2\left(x^2-2x+1\right)-4\left(x^2+6x+9\right)+2x^2-10x\)

\(=2x^2-4x+2-4x^2-24x-36+2x^2-10x=-38x-34\)

b: \(2\left(2x+5\right)^2-3\left(4x+1\right)\left(1-4x\right)\)

\(=2\left(4x^2+20x+25\right)-3\left(1-16x^2\right)\)

\(=8x^2+40x+50-3+48x^2=56x^2+40x+47\)

c: \(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)\)

\(=4\left(x^2+2x+1\right)+4x^2-4x+1-8\left(x^2-1\right)\)

\(=4x^2+8x+4+4x^2-4x+1-8x^2+8=4x+13\)