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Popular >

factor 27c^3+125

Solution

factor

27 c^{3} + 125

Solution

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

Solution steps

27 c^{3} + 125

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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