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Popular >

expand (x^3+y^3)^2

Solution

expand

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

Solution

x^{6} + 2 x^{3} y^{3} + y^{6}

Solution steps

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

Apply Perfect Square Formula:

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

(x^{3} + y^{3})^{2} = (x^{3})^{2} + 2 x^{3} y^{3} + (y^{3})^{2}

= (x^{3})^{2} + 2 x^{3} y^{3} + (y^{3})^{2}

Simplify

(x^{3})^{2} + 2 x^{3} y^{3} + (y^{3})^{2} : x^{6} + 2 x^{3} y^{3} + y^{6}

= x^{6} + 2 x^{3} y^{3} + y^{6}

Popular Examples

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simplify cos^{-2}(x)simplify

cos^{- 2} (x)

\frac{90}{8}

\frac{90}{7}

Frequently Asked Questions (FAQ)

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