What is factor 125+27y^3 ?

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

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factor 125+27y^3

factor

125 + 27 y^{3}

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

Solution steps

125 + 27 y^{3}

Write in the standard form

= 27 y^{3} + 125

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

\frac{3 ^{2}}{3 ^{4}}

- (x - 3) + x \leq 3 x - 4

- 4 + \frac{4}{3} + \frac{1}{9} + \frac{1}{9}

4 x^{2} y - 19 x y + 12 y

\frac{5}{6} + \frac{3}{7}

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