Answer
$x^{3}$+2$x^{2}$-14x+5
Work Step by Step
Given: (x+5)($x^{2}$-3x+1)
Distributive property: x($x^{2}$-3x+1)+5($x^{2}$-3x+1)
Distribute common factors to terms inside parenthesis:
(x)($x^{2}$)+(x)(-3x)+(x)(1)+(5)($x^{2}$)+(5)(-3x)+(5)(1)
Simplify: $x^{3}$-3$x^{2}$+x+5$x^{2}$-15x+5
Combine like terms: $x^{3}$+(5$x^{2}$-3$x^{2}$)+(-15x+x)+5
Simplify: $x^{3}$+2$x^{2}$-14x+5
