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Popular >

factor x^3+8y^3

Solution

factor

x^{3} + 8 y^{3}

Solution

(x + 2 y) (x^{2} - 2 x y + 4 y^{2})

Solution steps

x^{3} + 8 y^{3}

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

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

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

Simplify

x^{2} - x \cdot 2 y + (2 y)^{2} : x^{2} - 2 x y + 4 y^{2}

= (x + 2 y) (x^{2} - 2 x y + 4 y^{2})

Popular Examples

y+5>=-6\land 7y<35

y + 5 \geq - 6 and 7 y < 35

simplify (-2/3)^{-3}simplify

(- \frac{2}{3})^{- 3}

simplify ((5/2))/4 simplify

\frac{( \frac{5}{2} )}{4}

factor 4+6i factor

4 + 6 i

factor 2x(x+12)^2-x^3(x+12)factor

2 x (x + 12)^{2} - x^{3} (x + 12)

Frequently Asked Questions (FAQ)

What is factor x^3+8y^3 ?
The solution to factor x^3+8y^3 is (x+2y)(x^2-2xy+4y^2)