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Popular >

factor x^3*y^3+1

Solution

factor

x^{3} \cdot y^{3} + 1

Solution

(x y + 1) (x^{2} y^{2} - x y + 1)

Solution steps

x^{3} y^{3} + 1

Apply exponent rules

= (x y)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(x y)^{3} + 1^{3} = (x y + 1) ((x y)^{2} - x y + 1^{2})

= (x y + 1) ((x y)^{2} - x y + 1^{2})

Simplify

(x y)^{2} - x y + 1^{2} : x^{2} y^{2} - x y + 1

= (x y + 1) (x^{2} y^{2} - x y + 1)

Popular Examples

simplify (2a^3)^2 simplify

(2 a^{3})^{2}

expand (x^3-x+1)(x^2-1)(2x-1)expand

(x^{3} - x + 1) (x^{2} - 1) (2 x - 1)

factor 125x^3-343y^3 factor

125 x^{3} - 343 y^{3}

simplify (5x+10)/(10)simplify

\frac{5 x + 10}{10}

simplify a^{-1}+b^{-1}simplify

a^{- 1} + b^{- 1}

Frequently Asked Questions (FAQ)

What is factor x^3*y^3+1 ?
The solution to factor x^3*y^3+1 is (xy+1)(x^2y^2-xy+1)