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

The solution to expand (4x^3+y^3)^2 is 16x^6+8x^3y^3+y^6

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

expand

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

16 x^{6} + 8 x^{3} y^{3} + y^{6}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{3})^{2} + 2 \cdot 4 x^{3} y^{3} + (y^{3})^{2} : 16 x^{6} + 8 x^{3} y^{3} + y^{6}

= 16 x^{6} + 8 x^{3} y^{3} + y^{6}

81 x^{4} y^{7} z + 24 x y z^{4}

\frac{( \frac{3}{4} )}{2}

(n - 3) (n + 3)

\frac{70}{14}

\frac{70}{10}

What is expand (4x^3+y^3)^2 ?
The solution to expand (4x^3+y^3)^2 is 16x^6+8x^3y^3+y^6