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Popular >

factor y^3-216

Solution

factor

y^{3} - 216

Solution

(y - 6) (y^{2} + 6 y + 36)

Solution steps

y^{3} - 216

Rewrite

216

as

6^{3}

= y^{3} - 6^{3}

Apply Difference of Cubes Formula:

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

y^{3} - 6^{3} = (y - 6) (y^{2} + 6 y + 6^{2})

= (y - 6) (y^{2} + 6 y + 6^{2})

6^{2} = 36

= (y - 6) (y^{2} + 6 y + 36)

Popular Examples

factor 9x^2-25y^2+10y-1 factor

9 x^{2} - 25 y^{2} + 10 y - 1

simplify 2m^2*2m^3 simplify

2 m^{2} \cdot 2 m^{3}

(x - 1) (x + 1) \leq 0

-3(1/6 y)-18=72

- 3 (\frac{1}{6} y) - 18 = 72

simplify 41^2 simplify

4 1^{2}

Frequently Asked Questions (FAQ)

What is factor y^3-216 ?
The solution to factor y^3-216 is (y-6)(y^2+6y+36)