What is expand (x^2+x^4)^3 ?

The solution to expand (x^2+x^4)^3 is x^6+3x^8+3x^{10}+x^{12}

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expand (x^2+x^4)^3

expand

(x^{2} + x^{4})^{3}

x^{6} + 3 x^{8} + 3 x^{10} + x^{12}

Solution steps

(x^{2} + x^{4})^{3}

Apply Perfect Cube Formula:

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

(x^{2} + x^{4})^{3} = (x^{2})^{3} + 3 (x^{2})^{2} x^{4} + 3 x^{2} (x^{4})^{2} + (x^{4})^{3}

= (x^{2})^{3} + 3 (x^{2})^{2} x^{4} + 3 x^{2} (x^{4})^{2} + (x^{4})^{3}

Simplify

(x^{2})^{3} + 3 (x^{2})^{2} x^{4} + 3 x^{2} (x^{4})^{2} + (x^{4})^{3} : x^{6} + 3 x^{8} + 3 x^{10} + x^{12}

= x^{6} + 3 x^{8} + 3 x^{10} + x^{12}

\frac{y - 4}{y ^{2} - 16}

7 \frac{1}{8} + 3 \frac{5}{24}

7 (7 x + 6)^{2} - 2 (7 x + 6) (5 x + 6)

1 \frac{1}{2} + 2 \frac{3}{4}

\frac{3}{17 - 2}

What is expand (x^2+x^4)^3 ?
The solution to expand (x^2+x^4)^3 is x^6+3x^8+3x^{10}+x^{12}