Answer :
3(x + 2)(x - 1) + 5x(x - 1)
Distribute 3 into the parenthesis:
(3x + 6)(x - 1) + 5x(x - 1)
Distribute 3x + 6 into the parenthesis:
3x^2 - 3x + 6x - 6 + 5x(x - 1)
Combine like terms:
3x^2 + 3x - 6 + 5x(x - 1)
Distribute 5x into the parenthesis:
3x^2 + 3x - 6 + 5x^2 - 5x
Combine like terms:
8x^2 - 2x - 6
Distribute 3 into the parenthesis:
(3x + 6)(x - 1) + 5x(x - 1)
Distribute 3x + 6 into the parenthesis:
3x^2 - 3x + 6x - 6 + 5x(x - 1)
Combine like terms:
3x^2 + 3x - 6 + 5x(x - 1)
Distribute 5x into the parenthesis:
3x^2 + 3x - 6 + 5x^2 - 5x
Combine like terms:
8x^2 - 2x - 6
[tex]3(x+2)(x-1)+5x(x-1) \\ 3(x^{2}+x-2)+5x^{2}-5x \\ 3x^{2}+3x-6+5x^{2}-5x \\ (3x^{2}+5x^{2})+(3x-5x)-6 \\ \boxed{8x^{2}-2x-6}[/tex]