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Popular >

factor v^3+27

Solution

factor

v^{3} + 27

Solution

(v + 3) (v^{2} - 3 v + 9)

Solution steps

v^{3} + 27

Rewrite

27

as

3^{3}

= v^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

v^{3} + 3^{3} = (v + 3) (v^{2} - 3 v + 3^{2})

= (v + 3) (v^{2} - 3 v + 3^{2})

3^{2} = 9

= (v + 3) (v^{2} - 3 v + 9)

Popular Examples

(x - 9)^{2} = - 4

5 x^{2} - 21 = 39

factor a^2-13a+30 factor

a^{2} - 13 a + 30

simplify (3^{5m})/(3^{3m)}simplify

\frac{3 ^{5 m}}{3 ^{3 m}}

factor (a^2+4a)^2+8(a^2+4a)+16 factor

(a^{2} + 4 a)^{2} + 8 (a^{2} + 4 a) + 16

Frequently Asked Questions (FAQ)

What is factor v^3+27 ?
The solution to factor v^3+27 is (v+3)(v^2-3v+9)