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Popular >

factor 8u^3+27

Solution

factor

8 u^{3} + 27

Solution

(2 u + 3) (4 u^{2} - 6 u + 9)

Solution steps

8 u^{3} + 27

Apply exponent rules

= (2 u)^{3} + 3^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

(2 u + 3) (2^{2} u^{2} - 3 \cdot 2 u + 3^{2}) : (2 u + 3) (4 u^{2} - 6 u + 9)

= (2 u + 3) (4 u^{2} - 6 u + 9)

Popular Examples

-69x^2+4000x-5120=0

- 69 x^{2} + 4000 x - 5120 = 0

3 + 4 v = 3

simplify (1/32)^{-4/5}simplify

(\frac{1}{32})^{- \frac{4}{5}}

simplify (6!)/((6-4)!4!)simplify

\frac{6 !}{( 6 - 4 ) ! 4 !}

simplify sqrt(2^{-6)+6^{-2}}simplify

2^{- 6} + 6^{- 2}

Frequently Asked Questions (FAQ)

What is factor 8u^3+27 ?
The solution to factor 8u^3+27 is (2u+3)(4u^2-6u+9)