What is factor 125+27x^3 ?

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

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factor 125+27x^3

factor

125 + 27 x^{3}

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

Solution steps

125 + 27 x^{3}

Write in the standard form

= 27 x^{3} + 125

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{3}{4} (8 - 4 c) - 9 \geq \frac{3}{8} (16 c - 24) + 10

3 x^{2} + 2 = 50

- 8 (5 b)

7 a - 10 = 5 a + 12

\frac{9 a ^{3} b ^{5}}{- 3 a b ^{2}}

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