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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} \cdot 3 - 6 xx - 6 x \cdot 3 + 9 x + 9 \cdot 3

Simplify

x^{2} x + x^{2} \cdot 3 - 6 xx - 6 x \cdot 3 + 9 x + 9 \cdot 3 : x^{3} - 3 x^{2} - 9 x + 27

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

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r^{3} + 27 g^{3}

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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