What is factor a^3b^3+ab+a^2b^2+1 ?

The solution to factor a^3b^3+ab+a^2b^2+1 is (a^2b^2+1)(ab+1)

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factor a^3b^3+ab+a^2b^2+1

factor

a^{3} b^{3} + ab + a^{2} b^{2} + 1

(a^{2} b^{2} + 1) (ab + 1)

Solution steps

a^{3} b^{3} + ab + a^{2} b^{2} + 1

= (a^{3} b^{3} + ab) + (a^{2} b^{2} + 1)

Factor out

ab

from

a^{3} b^{3} + ab : ab (a^{2} b^{2} + 1)

= ab (a^{2} b^{2} + 1) + (a^{2} b^{2} + 1)

Factor out common term

(a^{2} b^{2} + 1) : (a^{2} b^{2} + 1) (ab + 1)

= (a^{2} b^{2} + 1) (ab + 1)

(2 x^{- 3})^{- 4} x^{- 4}

1 + \frac{2}{x + 2}

(\frac{4 ^{3}}{y})^{3}

- 25 - - 4

\frac{3}{3 - 2}

What is factor a^3b^3+ab+a^2b^2+1 ?
The solution to factor a^3b^3+ab+a^2b^2+1 is (a^2b^2+1)(ab+1)