What is expand (7a^5+12b^2)^2 ?

The solution to expand (7a^5+12b^2)^2 is 49a^{10}+168a^5b^2+144b^4

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expand (7a^5+12b^2)^2

expand

(7 a^{5} + 12 b^{2})^{2}

49 a^{10} + 168 a^{5} b^{2} + 144 b^{4}

Solution steps

(7 a^{5} + 12 b^{2})^{2}

Apply Perfect Square Formula:

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

(7 a^{5} + 12 b^{2})^{2} = (7 a^{5})^{2} + 2 \cdot 7 a^{5} \cdot 12 b^{2} + (12 b^{2})^{2}

= (7 a^{5})^{2} + 2 \cdot 7 a^{5} \cdot 12 b^{2} + (12 b^{2})^{2}

Simplify

(7 a^{5})^{2} + 2 \cdot 7 a^{5} \cdot 12 b^{2} + (12 b^{2})^{2} : 49 a^{10} + 168 a^{5} b^{2} + 144 b^{4}

= 49 a^{10} + 168 a^{5} b^{2} + 144 b^{4}

\frac{8}{1 - 17}

2 - 4 cos^{2} (x) + 4 cos^{4} (x)

(\frac{3 y ^{4}}{b ^{6}})^{2}

5 x - 3 x

- \frac{1}{5} + \frac{7}{10}

What is expand (7a^5+12b^2)^2 ?
The solution to expand (7a^5+12b^2)^2 is 49a^{10}+168a^5b^2+144b^4