What is expand (8y+y^2)^3 ?

The solution to expand (8y+y^2)^3 is 512y^3+192y^4+24y^5+y^6

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expand (8y+y^2)^3

expand

(8 y + y^{2})^{3}

512 y^{3} + 192 y^{4} + 24 y^{5} + y^{6}

Solution steps

(8 y + y^{2})^{3}

Apply Perfect Cube Formula:

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

(8 y + y^{2})^{3} = (8 y)^{3} + 3 (8 y)^{2} y^{2} + 3 \cdot 8 y (y^{2})^{2} + (y^{2})^{3}

= (8 y)^{3} + 3 (8 y)^{2} y^{2} + 3 \cdot 8 y (y^{2})^{2} + (y^{2})^{3}

Simplify

(8 y)^{3} + 3 (8 y)^{2} y^{2} + 3 \cdot 8 y (y^{2})^{2} + (y^{2})^{3} : 512 y^{3} + 192 y^{4} + 24 y^{5} + y^{6}

= 512 y^{3} + 192 y^{4} + 24 y^{5} + y^{6}

- 16 a^{4} b^{6} - 24 a^{5} b^{5} - 9 a^{6} b^{4}

(2 x + 3) \cdot 0.4 x

\frac{( 6 y ^{3} ) ^{3}}{2 y ^{5}}

a^{9} - b^{9}

x y - y + x - 1

What is expand (8y+y^2)^3 ?
The solution to expand (8y+y^2)^3 is 512y^3+192y^4+24y^5+y^6