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

The solution to expand (4a+5b)^3 is 64a^3+240a^2b+300ab^2+125b^3

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expand (4a+5b)^3

expand

(4 a + 5 b)^{3}

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

Solution steps

(4 a + 5 b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

2 \frac{x}{( x + 1 )} + 5 \frac{x}{( x + 1 )}

5 c^{1} + 5 c^{2}

\frac{20 x ^{5} - 10 x ^{4} + 25 x ^{2}}{- 5 x ^{2}}

1 0^{7} m

cos^{2} (a) - 1

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