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Popular >

expand (4-x^2)^3

Solution

expand

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

Solution

64 - 48 x^{2} + 12 x^{4} - x^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

(4 - x^{2})^{3} = 4^{3} - 3 \cdot 4^{2} x^{2} + 3 \cdot 4 (x^{2})^{2} - (x^{2})^{3}

= 4^{3} - 3 \cdot 4^{2} x^{2} + 3 \cdot 4 (x^{2})^{2} - (x^{2})^{3}

Simplify

4^{3} - 3 \cdot 4^{2} x^{2} + 3 \cdot 4 (x^{2})^{2} - (x^{2})^{3} : 64 - 48 x^{2} + 12 x^{4} - x^{6}

= 64 - 48 x^{2} + 12 x^{4} - x^{6}

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Frequently Asked Questions (FAQ)

What is expand (4-x^2)^3 ?
The solution to expand (4-x^2)^3 is 64-48x^2+12x^4-x^6