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

The solution to expand (4x^2+2xy)^3 is 64x^6+96x^5y+48x^4y^2+8x^3y^3

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

expand

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

64 x^{6} + 96 x^{5} y + 48 x^{4} y^{2} + 8 x^{3} y^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 x^{2})^{3} + 3 (4 x^{2})^{2} \cdot 2 x y + 3 \cdot 4 x^{2} (2 x y)^{2} + (2 x y)^{3} : 64 x^{6} + 96 x^{5} y + 48 x^{4} y^{2} + 8 x^{3} y^{3}

= 64 x^{6} + 96 x^{5} y + 48 x^{4} y^{2} + 8 x^{3} y^{3}

(a + b)^{2} - c^{2}

m^{3} n^{2} p^{4} + m^{4} n^{3} p^{5} - m^{6} n^{4} p^{4} + m^{2} n^{4} p^{3}

x (3 x^{2} + 2 x - 1)

20 x^{2} + 13 x + 2

\frac{( \frac{2}{3} ) ^{3}}{( \frac{2}{3} ) ^{- 2}}

What is expand (4x^2+2xy)^3 ?
The solution to expand (4x^2+2xy)^3 is 64x^6+96x^5y+48x^4y^2+8x^3y^3