What is factor 125a^3-27b^3 ?

The solution to factor 125a^3-27b^3 is (5a-3b)(25a^2+15ab+9b^2)

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factor 125a^3-27b^3

factor

125 a^{3} - 27 b^{3}

(5 a - 3 b) (25 a^{2} + 15 ab + 9 b^{2})

Solution steps

125 a^{3} - 27 b^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(5 a)^{2} + 5 a \cdot 3 b + (3 b)^{2} : 25 a^{2} + 15 ab + 9 b^{2}

= (5 a - 3 b) (25 a^{2} + 15 ab + 9 b^{2})

- \frac{5}{7} \cdot \frac{99}{5}

w^{2} - 15 w + 26

- 15 + 8

2 x^{(2)} + 4 x + 1 = 0

\frac{( 3 - 2 x )}{( x + 2 ) ( 4 - x )} \geq 0

What is factor 125a^3-27b^3 ?
The solution to factor 125a^3-27b^3 is (5a-3b)(25a^2+15ab+9b^2)