What is expand (4x^3+2y)^2 ?

The solution to expand (4x^3+2y)^2 is 16x^6+16x^3y+4y^2

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expand (4x^3+2y)^2

expand

(4 x^{3} + 2 y)^{2}

16 x^{6} + 16 x^{3} y + 4 y^{2}

Solution steps

(4 x^{3} + 2 y)^{2}

Apply Perfect Square Formula:

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

(4 x^{3} + 2 y)^{2} = (4 x^{3})^{2} + 2 \cdot 4 x^{3} \cdot 2 y + (2 y)^{2}

= (4 x^{3})^{2} + 2 \cdot 4 x^{3} \cdot 2 y + (2 y)^{2}

Simplify

(4 x^{3})^{2} + 2 \cdot 4 x^{3} \cdot 2 y + (2 y)^{2} : 16 x^{6} + 16 x^{3} y + 4 y^{2}

= 16 x^{6} + 16 x^{3} y + 4 y^{2}

(2 m^{3})^{4}

2 a^{2}

\frac{500}{3}

\frac{( x ^{4} - 1 )}{( x - 1 )}

(x + 2)^{8}

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