What is expand (4x+8y)^3 ?

The solution to expand (4x+8y)^3 is 64x^3+384x^2y+768xy^2+512y^3

Popular >

expand (4x+8y)^3

expand

(4 x + 8 y)^{3}

64 x^{3} + 384 x^{2} y + 768 x y^{2} + 512 y^{3}

Solution steps

(4 x + 8 y)^{3}

Apply Perfect Cube Formula:

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

(4 x + 8 y)^{3} = (4 x)^{3} + 3 (4 x)^{2} \cdot 8 y + 3 \cdot 4 x (8 y)^{2} + (8 y)^{3}

= (4 x)^{3} + 3 (4 x)^{2} \cdot 8 y + 3 \cdot 4 x (8 y)^{2} + (8 y)^{3}

Simplify

(4 x)^{3} + 3 (4 x)^{2} \cdot 8 y + 3 \cdot 4 x (8 y)^{2} + (8 y)^{3} : 64 x^{3} + 384 x^{2} y + 768 x y^{2} + 512 y^{3}

= 64 x^{3} + 384 x^{2} y + 768 x y^{2} + 512 y^{3}

\frac{( 14 x ^{7} \cdot y ^{4} \cdot z ^{7} )}{( 2 x ^{5} \cdot y ^{n} \cdot z ^{p} )}

a^{5} + a^{3} + 2 a^{2} + 2

x^{4} - 3 x^{3} + 2

\frac{p ^{3} + 2 p ^{2} + 3 p}{2 \cdot p}

a^{3} + 343 6^{3}

What is expand (4x+8y)^3 ?
The solution to expand (4x+8y)^3 is 64x^3+384x^2y+768xy^2+512y^3