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Popular >

factor 27y^3+125

Solution

factor

27 y^{3} + 125

Solution

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

Solution steps

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)

Popular Examples

factor 5x^4-10x^3-75x^2 factor

5 x^{4} - 10 x^{3} - 75 x^{2}

-2x^2+2/3 x= 1/3 x^2-x

- 2 x^{2} + \frac{2}{3} x = \frac{1}{3} x^{2} - x

x^{2} - 18 x + 72 = 0

simplify (x+iy)(x-iy)simplify

(x + i y) (x - i y)

(4(2x-1))/3 <= x+3

\frac{4 ( 2 x - 1 )}{3} \leq x + 3

Frequently Asked Questions (FAQ)

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