What is factor 125x^3-64y^3 ?

The solution to factor 125x^3-64y^3 is (5x-4y)(25x^2+20xy+16y^2)

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factor 125x^3-64y^3

factor

125 x^{3} - 64 y^{3}

(5 x - 4 y) (25 x^{2} + 20 x y + 16 y^{2})

Solution steps

125 x^{3} - 64 y^{3}

Apply exponent rules

= (5 x)^{3} - (4 y)^{3}

Apply Difference of Cubes Formula:

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

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

= (5 x - 4 y) ((5 x)^{2} + 5 x \cdot 4 y + (4 y)^{2})

Simplify

(5 x)^{2} + 5 x \cdot 4 y + (4 y)^{2} : 25 x^{2} + 20 x y + 16 y^{2}

= (5 x - 4 y) (25 x^{2} + 20 x y + 16 y^{2})

ln (x) - ln (x - 2) < 5

x - 3 \leq 4 x + 9

\frac{6 ^{0} t u ^{- 5}}{2 ^{5}}

3 \cdot x^{2} + x = 0

- 16 t^{2} + 70 t - 25 = 0

What is factor 125x^3-64y^3 ?
The solution to factor 125x^3-64y^3 is (5x-4y)(25x^2+20xy+16y^2)