What is expand (5y+4b)^3 ?

The solution to expand (5y+4b)^3 is 125y^3+300by^2+240yb^2+64b^3

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expand (5y+4b)^3

expand

(5 y + 4 b)^{3}

125 y^{3} + 300 b y^{2} + 240 y b^{2} + 64 b^{3}

Solution steps

(5 y + 4 b)^{3}

Apply Perfect Cube Formula:

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

(5 y + 4 b)^{3} = (5 y)^{3} + 3 (5 y)^{2} \cdot 4 b + 3 \cdot 5 y (4 b)^{2} + (4 b)^{3}

= (5 y)^{3} + 3 (5 y)^{2} \cdot 4 b + 3 \cdot 5 y (4 b)^{2} + (4 b)^{3}

Simplify

(5 y)^{3} + 3 (5 y)^{2} \cdot 4 b + 3 \cdot 5 y (4 b)^{2} + (4 b)^{3} : 125 y^{3} + 300 b y^{2} + 240 y b^{2} + 64 b^{3}

= 125 y^{3} + 300 b y^{2} + 240 y b^{2} + 64 b^{3}

\frac{2}{2} + \frac{13}{x} + 1

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

0.5 (9 + x) + 25 (2 x - 1) - 13

\frac{1}{a} - \frac{1}{( a + 1 )}

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

What is expand (5y+4b)^3 ?
The solution to expand (5y+4b)^3 is 125y^3+300by^2+240yb^2+64b^3