What is expand (4x^3+y^5)^2 ?

The solution to expand (4x^3+y^5)^2 is 16x^6+8x^3y^5+y^{10}

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expand (4x^3+y^5)^2

expand

(4 x^{3} + y^{5})^{2}

16 x^{6} + 8 x^{3} y^{5} + y^{10}

Solution steps

(4 x^{3} + y^{5})^{2}

Apply Perfect Square Formula:

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

(4 x^{3} + y^{5})^{2} = (4 x^{3})^{2} + 2 \cdot 4 x^{3} y^{5} + (y^{5})^{2}

= (4 x^{3})^{2} + 2 \cdot 4 x^{3} y^{5} + (y^{5})^{2}

Simplify

(4 x^{3})^{2} + 2 \cdot 4 x^{3} y^{5} + (y^{5})^{2} : 16 x^{6} + 8 x^{3} y^{5} + y^{10}

= 16 x^{6} + 8 x^{3} y^{5} + y^{10}

\frac{1}{2}

(3 x - 5) (2 x - 4)

(x + 4) (x + 4) (x + 4)

5 (5 b)

\frac{7}{15} - \frac{2}{15}

What is expand (4x^3+y^5)^2 ?
The solution to expand (4x^3+y^5)^2 is 16x^6+8x^3y^5+y^{10}