Factor the GCF from the polynomial. x2(x−1)+y2(x−1)

Step 1
The given polynomial is,
${\displaystyle x^2\times (x-1)+y^2\times (x-1)}$
The GCF of a polynomial is the greatest common factor of the polynomial.
The polynomial can be rewritten as,
${\displaystyle x^2\times (x-1)+y^2\times (x-1)=(x-1)\times (x^2+y^2)}$
Thus, the term (x-1) is common for the polynomial.
Step 2
Thus, the factorised expression is,
${\displaystyle (x-1)\times (x^2+y^2)}$
Thus, the GCF of the polynomial (x-1).