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Popular >

expand (y^2+1)^3

Solution

expand

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

Solution

y^{6} + 3 y^{4} + 3 y^{2} + 1

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= y^{6} + 3 y^{4} + 3 y^{2} + 1

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Frequently Asked Questions (FAQ)

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