What is factor 1+x^2y^2+x^2+y^2 ?

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

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factor 1+x^2y^2+x^2+y^2

factor

1 + x^{2} y^{2} + x^{2} + y^{2}

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

Solution steps

1 + x^{2} y^{2} + x^{2} + y^{2}

Group by common factors

= x^{2} y^{2} + x^{2} + y^{2} + 1

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

Factor out

x^{2}

from

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

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

Factor out common term

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

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

(1 + 2 a)^{5}

b^{2} c^{0}

\frac{( ( - sin ( x ) ) - ( \frac{c o s ( x )}{x} ) )}{cos ^{2} ( x )}

- \frac{56}{9} y - \frac{5}{6}

\frac{5 x}{3 + ( x - \frac{1}{2} ) - 2 x}

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