What is expand (3a^2+8b^4)^2 ?

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

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expand (3a^2+8b^4)^2

expand

(3 a^{2} + 8 b^{4})^{2}

9 a^{4} + 48 a^{2} b^{4} + 64 b^{8}

Solution steps

(3 a^{2} + 8 b^{4})^{2}

Apply Perfect Square Formula:

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

(3 a^{2} + 8 b^{4})^{2} = (3 a^{2})^{2} + 2 \cdot 3 a^{2} \cdot 8 b^{4} + (8 b^{4})^{2}

= (3 a^{2})^{2} + 2 \cdot 3 a^{2} \cdot 8 b^{4} + (8 b^{4})^{2}

Simplify

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

= 9 a^{4} + 48 a^{2} b^{4} + 64 b^{8}

(sec^{2} (x) - 1) cos^{2} (x)

(e 8) \cdot (- 128)

(x - 1) (x + 2) (x - 2)

4 x + 2 y + 4 x - 5 y

2.7 2^{2}

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