Question

What expression is equivalent to 2(x^2-1) + 3x(x-4)

Answer 1

2(x^2 - 1) + 3x(x - 4) = 5x² - 12x - 2

Explanation:

`2(x^2-1)+3x(x-4)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=(2)(x^2)+(2)(-1)+(3x)(x)+(3x)(-4)\\\\=2x^2-2+3x^2-12x\qquad\text{combine like terms}\\\\=(2x^2+3x^2)-12x-2\\\\=5x^2-12x-2`