What is factor 125+8c^3 ?

The solution to factor 125+8c^3 is (2c+5)(4c^2-10c+25)

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factor 125+8c^3

factor

125 + 8 c^{3}

(2 c + 5) (4 c^{2} - 10 c + 25)

Solution steps

125 + 8 c^{3}

Write in the standard form

= 8 c^{3} + 125

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 c + 5) (2^{2} c^{2} - 5 \cdot 2 c + 5^{2}) : (2 c + 5) (4 c^{2} - 10 c + 25)

= (2 c + 5) (4 c^{2} - 10 c + 25)

(1 + 2) (3 + 2)

2 \frac{1}{4} \cdot 2

x^{3} y^{5} + x^{5} y^{5}

8 x - 5 y - x + 9 - y

What is factor 125+8c^3 ?
The solution to factor 125+8c^3 is (2c+5)(4c^2-10c+25)