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Popular >

factor x^3+27y^3

Solution

factor

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

Solution

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

Solution steps

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

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

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

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

Popular Examples

factor x^5y+y^4 factor

x^{5} y + y^{4}

2 (x + 10)^{2} = 50

factor 30n^3+65n^2-25n factor

30 n^{3} + 65 n^{2} - 25 n

- x^{2} + x + 6 \leq 0

simplify sqrt(144x^2y^8)simplify

144 x^{2} y^{8}

Frequently Asked Questions (FAQ)

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