What is expand (a^2+b^2)^3 ?

The solution to expand (a^2+b^2)^3 is a^6+3a^4b^2+3a^2b^4+b^6

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expand (a^2+b^2)^3

expand

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

a^{6} + 3 a^{4} b^{2} + 3 a^{2} b^{4} + b^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(a^{2})^{3} + 3 (a^{2})^{2} b^{2} + 3 a^{2} (b^{2})^{2} + (b^{2})^{3} : a^{6} + 3 a^{4} b^{2} + 3 a^{2} b^{4} + b^{6}

= a^{6} + 3 a^{4} b^{2} + 3 a^{2} b^{4} + b^{6}

4 x - [2 y - (5 x - 4 y)]

(22 + 3)^{2}

(7.4 \cdot 0.008 + 7.4) \cdot 30500 + 16500

1 + 3.322 lo g_{10} (100)

What is expand (a^2+b^2)^3 ?
The solution to expand (a^2+b^2)^3 is a^6+3a^4b^2+3a^2b^4+b^6