What is factor 1-x^3y^3 ?

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

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factor 1-x^3y^3

factor

1 - x^{3} y^{3}

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

Solution steps

1 - x^{3} y^{3}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

= 1 - (x y)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

1^{2} + 1 \cdot x y + (x y)^{2} : 1 + x y + x^{2} y^{2}

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

6 (x + 2 y)^{3} + 8 (x + 2 y)^{2}

16 a^{4} \cdot x^{3} + 54 a \cdot y^{3}

(2 a + b)^{3} - (2 a - b)^{3} - 2 b^{3}

y^{3} + 3 y^{2} - 6 y - 8

160000 x^{4} - 10000

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