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

The solution to expand (2x^2+4y)^3 is 8x^6+48x^4y+96x^2y^2+64y^3

Popular >

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

expand

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

8 x^{6} + 48 x^{4} y + 96 x^{2} y^{2} + 64 y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 x^{2})^{3} + 3 (2 x^{2})^{2} \cdot 4 y + 3 \cdot 2 x^{2} (4 y)^{2} + (4 y)^{3} : 8 x^{6} + 48 x^{4} y + 96 x^{2} y^{2} + 64 y^{3}

= 8 x^{6} + 48 x^{4} y + 96 x^{2} y^{2} + 64 y^{3}

(5 a + 2)^{2}

lo g_{8} (2)

\frac{13}{39}

\frac{\frac{8 r + 8 s}{r ^{2}}}{\frac{r ^{2} - s ^{2}}{8 r}}

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

What is expand (2x^2+4y)^3 ?
The solution to expand (2x^2+4y)^3 is 8x^6+48x^4y+96x^2y^2+64y^3