What is expand (2y+12)^3 ?

The solution to expand (2y+12)^3 is 8y^3+144y^2+864y+1728

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expand (2y+12)^3

expand

(2 y + 12)^{3}

8 y^{3} + 144 y^{2} + 864 y + 1728

Solution steps

(2 y + 12)^{3}

Apply Perfect Cube Formula:

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

(2 y + 12)^{3} = (2 y)^{3} + 3 (2 y)^{2} \cdot 12 + 3 \cdot 2 y \cdot 1 2^{2} + 1 2^{3}

= (2 y)^{3} + 3 (2 y)^{2} \cdot 12 + 3 \cdot 2 y \cdot 1 2^{2} + 1 2^{3}

Simplify

(2 y)^{3} + 3 (2 y)^{2} \cdot 12 + 3 \cdot 2 y \cdot 1 2^{2} + 1 2^{3} : 8 y^{3} + 144 y^{2} + 864 y + 1728

= 8 y^{3} + 144 y^{2} + 864 y + 1728

\frac{x + ( x + 2 )}{3}

\frac{2 ( 2 ^{n} - 1 )}{2 - 1}

(2 w^{4} \cdot u^{3})^{5}

(27 x^{- 1})^{\frac{- 2}{3}}

24 \frac{t ^{3}}{15} t^{4} \cdot 5 \frac{t ^{8}}{3} t^{6}

What is expand (2y+12)^3 ?
The solution to expand (2y+12)^3 is 8y^3+144y^2+864y+1728