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

The solution to expand (2a^3+4b^2)^2 is 4a^6+16a^3b^2+16b^4

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

expand

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

4 a^{6} + 16 a^{3} b^{2} + 16 b^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 a^{3})^{2} + 2 \cdot 2 a^{3} \cdot 4 b^{2} + (4 b^{2})^{2} : 4 a^{6} + 16 a^{3} b^{2} + 16 b^{4}

= 4 a^{6} + 16 a^{3} b^{2} + 16 b^{4}

16 + 9 + (2 + 3)^{3}

e - e^{- 1}

16 x^{3} + 4 x^{2} - 100 x - 25

\frac{32 x ^{4} - 50}{4 x ^{3} - 12 x ^{2} - 5 x + 15}

(2^{n})^{2}

What is expand (2a^3+4b^2)^2 ?
The solution to expand (2a^3+4b^2)^2 is 4a^6+16a^3b^2+16b^4