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Popular >

expand (x-3)(x+3)^2

Solution

expand

(x - 3) (x + 3)^{2}

Solution

x^{3} + 3 x^{2} - 9 x - 27

Solution steps

(x - 3) (x + 3)^{2}

= (x + 3)^{2} (x - 3)

Expand

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

= (x^{2} + 6 x + 9) (x - 3)

Distribute parentheses

= x^{2} x + x^{2} (- 3) + 6 xx + 6 x (- 3) + 9 x + 9 (- 3)

Simplify

x^{2} x + x^{2} (- 3) + 6 xx + 6 x (- 3) + 9 x + 9 (- 3) : x^{3} + 3 x^{2} - 9 x - 27

= x^{3} + 3 x^{2} - 9 x - 27

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Frequently Asked Questions (FAQ)

What is expand (x-3)(x+3)^2 ?
The solution to expand (x-3)(x+3)^2 is x^3+3x^2-9x-27