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}

x^{4} + x^{2} + 25

(rs)^{3} (2 s)^{- 2} (4 r)^{4}

\frac{5}{14}

(x - 10) (x - 10)

\frac{15}{3}

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