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Popular >

expand (2x^2-3)^3

Solution

expand

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

Solution

8 x^{6} - 36 x^{4} + 54 x^{2} - 27

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x^{2})^{3} - 3 (2 x^{2})^{2} \cdot 3 + 3 \cdot 2 x^{2} \cdot 3^{2} - 3^{3} : 8 x^{6} - 36 x^{4} + 54 x^{2} - 27

= 8 x^{6} - 36 x^{4} + 54 x^{2} - 27

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Frequently Asked Questions (FAQ)

What is expand (2x^2-3)^3 ?
The solution to expand (2x^2-3)^3 is 8x^6-36x^4+54x^2-27