What is expand (3m^2+8n^4)^2 ?

The solution to expand (3m^2+8n^4)^2 is 9m^4+48m^2n^4+64n^8

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expand (3m^2+8n^4)^2

expand

(3 m^{2} + 8 n^{4})^{2}

9 m^{4} + 48 m^{2} n^{4} + 64 n^{8}

Solution steps

(3 m^{2} + 8 n^{4})^{2}

Apply Perfect Square Formula:

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

(3 m^{2} + 8 n^{4})^{2} = (3 m^{2})^{2} + 2 \cdot 3 m^{2} \cdot 8 n^{4} + (8 n^{4})^{2}

= (3 m^{2})^{2} + 2 \cdot 3 m^{2} \cdot 8 n^{4} + (8 n^{4})^{2}

Simplify

(3 m^{2})^{2} + 2 \cdot 3 m^{2} \cdot 8 n^{4} + (8 n^{4})^{2} : 9 m^{4} + 48 m^{2} n^{4} + 64 n^{8}

= 9 m^{4} + 48 m^{2} n^{4} + 64 n^{8}

(\frac{4 x ^{5} y}{16 x y ^{5}})^{3}

- 5 (- 10 p + 8 p - 5) - p

\frac{4 + 10 i}{- 3 - i}

5 (m + 3 + n)

(4 x^{3})^{0}

What is expand (3m^2+8n^4)^2 ?
The solution to expand (3m^2+8n^4)^2 is 9m^4+48m^2n^4+64n^8