What is factor 125a^3-64b^3 ?

The solution to factor 125a^3-64b^3 is (5a-4b)(25a^2+20ab+16b^2)

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factor 125a^3-64b^3

factor

125 a^{3} - 64 b^{3}

(5 a - 4 b) (25 a^{2} + 20 ab + 16 b^{2})

Solution steps

125 a^{3} - 64 b^{3}

Apply exponent rules

= (5 a)^{3} - (4 b)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(5 a)^{2} + 5 a \cdot 4 b + (4 b)^{2} : 25 a^{2} + 20 ab + 16 b^{2}

= (5 a - 4 b) (25 a^{2} + 20 ab + 16 b^{2})

128 x^{2} y - 8 y

\frac{2}{2} \cdot \frac{2}{2}

2 x - 3 > 9

lo g_{\frac{1}{2}} (x^{2} + 2 x) \geq 0

∣ x + 5 ∣ < 10

What is factor 125a^3-64b^3 ?
The solution to factor 125a^3-64b^3 is (5a-4b)(25a^2+20ab+16b^2)