Question

E(x)=x(3x-2)² -2(x²-2x)(3x-2)+x(x²-4x+4).

Answer 1

Răspuns:

E(x) = 4x³

Explicație pas cu pas:

$E(x) = x(3x - 2)^{2} - 2(x^{2} - 2x)(3x - 2) + x(x^{2} - 4x + 4) = x(3x - 2)^{2} - 2x(x - 2)(3x - 2) + x(x - 2)^{2} = x[(3x - 2)^{2} - 2(x - 2)(3x - 2) + (x - 2)^{2}] = x[(3x - 2) - (x - 2)]^{2} = x{(3x - 2 - x + 2)}^{2} = x{(2x)}^{2} = x \times 4 {x}^{2} = 4{x}^{3}$