What is expand (x+6)(x+3)(x-5) ?

The solution to expand (x+6)(x+3)(x-5) is x^3+4x^2-27x-90

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expand (x+6)(x+3)(x-5)

expand

(x + 6) (x + 3) (x - 5)

x^{3} + 4 x^{2} - 27 x - 90

Solution steps

(x + 6) (x + 3) (x - 5)

Expand

(x + 6) (x + 3) (x - 5) : (x^{2} + 9 x + 18) (x - 5)

= (x^{2} + 9 x + 18) (x - 5)

Distribute parentheses

= x^{2} x + x^{2} (- 5) + 9 xx + 9 x (- 5) + 18 x + 18 (- 5)

Simplify

x^{2} x + x^{2} (- 5) + 9 xx + 9 x (- 5) + 18 x + 18 (- 5) : x^{3} + 4 x^{2} - 27 x - 90

= x^{3} + 4 x^{2} - 27 x - 90

2^{- 2 - 1}

x^{4} + 4 x^{3} + 4 x^{2}

90 0^{2}

\frac{40}{16}

23 x^{4}

What is expand (x+6)(x+3)(x-5) ?
The solution to expand (x+6)(x+3)(x-5) is x^3+4x^2-27x-90