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Popular >

factor p^3+27

Solution

factor

p^{3} + 27

Solution

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

Solution steps

p^{3} + 27

Rewrite

27

as

3^{3}

= p^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

3^{2} = 9

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

Popular Examples

- 3 < 3

simplify 1530/115000*2/2 simplify

\frac{1530}{115000} \cdot \frac{2}{2}

\frac{x - 2}{- 2} = 6

-7/2 x< 7/2 \lor 4/9 x<-10/9

- \frac{7}{2} x < \frac{7}{2} or \frac{4}{9} x < - \frac{10}{9}

simplify (x^{-2})(x^4)(x^5)simplify

(x^{- 2}) (x^{4}) (x^{5})

Frequently Asked Questions (FAQ)

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