What is expand (2x^3+4x^5)^2 ?

The solution to expand (2x^3+4x^5)^2 is 4x^6+16x^8+16x^{10}

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expand (2x^3+4x^5)^2

expand

(2 x^{3} + 4 x^{5})^{2}

4 x^{6} + 16 x^{8} + 16 x^{10}

Solution steps

(2 x^{3} + 4 x^{5})^{2}

Apply Perfect Square Formula:

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

(2 x^{3} + 4 x^{5})^{2} = (2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 4 x^{5} + (4 x^{5})^{2}

= (2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 4 x^{5} + (4 x^{5})^{2}

Simplify

(2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 4 x^{5} + (4 x^{5})^{2} : 4 x^{6} + 16 x^{8} + 16 x^{10}

= 4 x^{6} + 16 x^{8} + 16 x^{10}

(x + 6) (x + 5)

6 z^{2} (7 z^{2} + 3 z - 2)

\frac{33}{4}

(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)

(6 a^{2} - b) (6 a^{2} - b)

What is expand (2x^3+4x^5)^2 ?
The solution to expand (2x^3+4x^5)^2 is 4x^6+16x^8+16x^{10}