Simplify (x-5) (x^2-2x-6)

x^3 - 7x^2 + 4x + 30

Step-by-step explanation:

x times x^2 = x^3 - 5 times x^2 = - 5x^2

x times - 2x = - 2x^2 - 5 times - 2x = 10x

x times - 6 = - 6x - 5 times - 6 = 30

Combine like terms

(-5x^2 and - 2x^2) = - 7x^2

(10x - 6x) = 4x

Carry down the remaining (x^3 and 30)

x^3 - 7x^2 + 4x + 30