Question

Выполните действияа)(x^2+4x)-(x^2-4x)б)-x(x^2-3x)в)2x(x+6)-3x(4-x)

Answer 1

$x^2+4x-x^2+4x=8x \\ \\ -x^3+3x^2 \\ \\ 2x^2+12x-12x+3x^2=5x^2$

Answer 2

a) (x^2 + 4x) - (x^2 - 4x) = x^2 + 4x - x^2 + 4x (Distribute the negative sign to both terms within the parentheses) = (x^2 - x^2) + (4x + 4x) (Combine like terms) = 0 + 8x = 8x

b) -x(x^2 - 3x) = -x * x^2 + x * 3x (Distribute the negative sign and multiply) = -x^3 + 3x^2

c) 2x(x + 6) - 3x(4 - x) = 2x^2 + 12x - 12x + 3x^2 (Distribute and multiply) = 2x^2 + 3x^2 + 12x - 12x (Combine like terms) = 5x^2