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Popular >

expand (3y^2-1)^3

Solution

expand

(3 y^{2} - 1)^{3}

Solution

27 y^{6} - 27 y^{4} + 9 y^{2} - 1

Solution steps

(3 y^{2} - 1)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 y^{2})^{3} - 3 (3 y^{2})^{2} \cdot 1 + 3 \cdot 3 y^{2} \cdot 1^{2} - 1^{3} : 27 y^{6} - 27 y^{4} + 9 y^{2} - 1

= 27 y^{6} - 27 y^{4} + 9 y^{2} - 1

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Frequently Asked Questions (FAQ)

What is expand (3y^2-1)^3 ?
The solution to expand (3y^2-1)^3 is 27y^6-27y^4+9y^2-1