What is expand (a^5+7b^4)^2 ?

The solution to expand (a^5+7b^4)^2 is a^{10}+14a^5b^4+49b^8

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expand (a^5+7b^4)^2

expand

(a^{5} + 7 b^{4})^{2}

a^{10} + 14 a^{5} b^{4} + 49 b^{8}

Solution steps

(a^{5} + 7 b^{4})^{2}

Apply Perfect Square Formula:

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

(a^{5} + 7 b^{4})^{2} = (a^{5})^{2} + 2 a^{5} \cdot 7 b^{4} + (7 b^{4})^{2}

= (a^{5})^{2} + 2 a^{5} \cdot 7 b^{4} + (7 b^{4})^{2}

Simplify

(a^{5})^{2} + 2 a^{5} \cdot 7 b^{4} + (7 b^{4})^{2} : a^{10} + 14 a^{5} b^{4} + 49 b^{8}

= a^{10} + 14 a^{5} b^{4} + 49 b^{8}

(2 (5) - i) (\frac{5}{5} - 2 i)

100 - 64

6 x^{3} y^{2} - 10 x y^{3} + 18 x^{2} y

y^{4} + x y

\frac{9}{3}

What is expand (a^5+7b^4)^2 ?
The solution to expand (a^5+7b^4)^2 is a^{10}+14a^5b^4+49b^8