What is factor (8b)^3-(5c)^3 ?

The solution to factor (8b)^3-(5c)^3 is (8b-5c)(64b^2+40bc+25c^2)

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factor (8b)^3-(5c)^3

factor

(8 b)^{3} - (5 c)^{3}

(8 b - 5 c) (64 b^{2} + 40 b c + 25 c^{2})

Solution steps

(8 b)^{3} - (5 c)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(8 b)^{3} - (5 c)^{3} = (8 b - 5 c) ((8 b)^{2} + 5 c 8 b + (5 c)^{2})

= (8 b - 5 c) ((5 c)^{2} + 5 c 8 b + (8 b)^{2})

Simplify

(8 b - 5 c) ((8 b)^{2} + 5 c \cdot 8 b + (5 c)^{2}) : (8 b - 5 c) (64 b^{2} + 40 b c + 25 c^{2})

= (8 b - 5 c) (64 b^{2} + 40 b c + 25 c^{2})

6 x^{2} y + 1 + 1

10 d^{4} - 4 d^{3} e

(x)^{12}

m x + n x + 3 m + 3 n

6 x^{2} - 23 + 21

What is factor (8b)^3-(5c)^3 ?
The solution to factor (8b)^3-(5c)^3 is (8b-5c)(64b^2+40bc+25c^2)