Question

Multiply the expression and simplify: (x -2) (x^2 + 3x -5) *Show all work*

Answer 1

$(x-2)(x^2+3x-5)\qquad\text{use distributive property}\\\\=(x)(x^2)+(x)(3x)+(x)(-5)+(-2)(x^2)+(-2)(3x)+(-2)(-5)\\\\=x^3+3x^2-5x-2x^2-6x+10\qquad\text{combine like terms}\\\\=x^3+(3x^2-2x^2)+(-5x-6x)+10\\\\=\boxed{x^3+x^2-11x+10}$