Factor the GCF from the polynomial. x^{2}(x-1)+y^{2}(x-1)

a2linetagadaW

a2linetagadaW

Answered question

2021-02-19

Factor the GCF from the polynomial.
x2(x1)+y2(x1)

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-02-21Added 97 answers

Step 1
The given polynomial is,
x2×(x1)+y2×(x1)
The GCF of a polynomial is the greatest common factor of the polynomial.
The polynomial can be rewritten as,
x2×(x1)+y2×(x1)=(x1)×(x2+y2)
Thus, the term (x-1) is common for the polynomial.
Step 2
Thus, the factorised expression is,
(x1)×(x2+y2)
Thus, the GCF of the polynomial (x-1).

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