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Popular >

expand (4x^2-1)^3

Solution

expand

(4 x^{2} - 1)^{3}

Solution

64 x^{6} - 48 x^{4} + 12 x^{2} - 1

Solution steps

(4 x^{2} - 1)^{3}

Apply Perfect Cube Formula:

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

(4 x^{2} - 1)^{3} = (4 x^{2})^{3} - 3 (4 x^{2})^{2} \cdot 1 + 3 \cdot 4 x^{2} \cdot 1^{2} - 1^{3}

= (4 x^{2})^{3} - 3 (4 x^{2})^{2} \cdot 1 + 3 \cdot 4 x^{2} \cdot 1^{2} - 1^{3}

Simplify

(4 x^{2})^{3} - 3 (4 x^{2})^{2} \cdot 1 + 3 \cdot 4 x^{2} \cdot 1^{2} - 1^{3} : 64 x^{6} - 48 x^{4} + 12 x^{2} - 1

= 64 x^{6} - 48 x^{4} + 12 x^{2} - 1

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Frequently Asked Questions (FAQ)

What is expand (4x^2-1)^3 ?
The solution to expand (4x^2-1)^3 is 64x^6-48x^4+12x^2-1