What is expand (x^2+y^2)^3 ?

The solution to expand (x^2+y^2)^3 is x^6+3x^4y^2+3x^2y^4+y^6

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

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} + 3 (x^{2})^{2} y^{2} + 3 x^{2} (y^{2})^{2} + (y^{2})^{3} : x^{6} + 3 x^{4} y^{2} + 3 x^{2} y^{4} + y^{6}

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

(x - 1) (x - 2) (x - 3) (x - 4)

(x - a)^{2}

\frac{2 x - 6}{x - 3}

\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12}

3 \times (- 1)

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