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Popular >

expand (9-x^2)^3

Solution

expand

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

Solution

729 - 243 x^{2} + 27 x^{4} - x^{6}

Solution steps

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

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

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

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

Simplify

9^{3} - 3 \cdot 9^{2} x^{2} + 3 \cdot 9 (x^{2})^{2} - (x^{2})^{3} : 729 - 243 x^{2} + 27 x^{4} - x^{6}

= 729 - 243 x^{2} + 27 x^{4} - x^{6}

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Frequently Asked Questions (FAQ)

What is expand (9-x^2)^3 ?
The solution to expand (9-x^2)^3 is 729-243x^2+27x^4-x^6