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Popular >

factor 27x^3+y^3

Solution

factor

27 x^{3} + y^{3}

Solution

(3 x + y) (9 x^{2} - 3 x y + y^{2})

Solution steps

27 x^{3} + y^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

(3 x)^{2} - 3 x y + y^{2} : 9 x^{2} - 3 x y + y^{2}

= (3 x + y) (9 x^{2} - 3 x y + y^{2})

Popular Examples

simplify log_{10}(40)+log_{10}(2.5)simplify

lo g_{10} (40) + lo g_{10} (2.5)

simplify 1/20*8/3 simplify

\frac{1}{20} \cdot \frac{8}{3}

simplify-1/2-5/2 simplify

- \frac{1}{2} - \frac{5}{2}

lo g_{3} (27) = x

9(3x+9)=14-(x-3)

9 (3 x + 9) = 14 - (x - 3)

Frequently Asked Questions (FAQ)

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