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Popular >

factor 125c^3+1

Solution

factor

125 c^{3} + 1

Solution

(5 c + 1) (25 c^{2} - 5 c + 1)

Solution steps

125 c^{3} + 1

Apply exponent rules

= (5 c)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(5 c)^{3} + 1^{3} = (5 c + 1) (5^{2} c^{2} - 5 c + 1)

= (5 c + 1) (5^{2} c^{2} - 5 c + 1)

5^{2} = 25

= (5 c + 1) (25 c^{2} - 5 c + 1)

Popular Examples

x + 4 \geq 5

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i^{2001}

2x^2-(x-3)(x+5)=7(x+3)

2 x^{2} - (x - 3) (x + 5) = 7 (x + 3)

simplify-6xy^5(16x^4y)simplify

- 6 x y^{5} (16 x^{4} y)

3x^2+5x-1<= 5x^2-6

3 x^{2} + 5 x - 1 \leq 5 x^{2} - 6

Frequently Asked Questions (FAQ)

What is factor 125c^3+1 ?
The solution to factor 125c^3+1 is (5c+1)(25c^2-5c+1)