What is factor 125a^3-64 ?

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

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factor 125a^3-64

factor

125 a^{3} - 64

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

Solution steps

125 a^{3} - 64

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

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

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

80

\frac{8}{4 + 3 i}

x^{2} + 12 x + 20 \geq 0

x^{3} - 2 x^{2} + 4 x - 8

3 x^{2} - 18 x = 120

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