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Popular >

factor 125x^3+27

Solution

factor

125 x^{3} + 27

Solution

(5 x + 3) (25 x^{2} - 15 x + 9)

Solution steps

125 x^{3} + 27

Apply exponent rules

= (5 x)^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(5 x + 3) (5^{2} x^{2} - 3 \cdot 5 x + 3^{2}) : (5 x + 3) (25 x^{2} - 15 x + 9)

= (5 x + 3) (25 x^{2} - 15 x + 9)

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Frequently Asked Questions (FAQ)

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