Question

Factorise xy+x+y+1 polynomials by regrouping the terms

Answer 1

Answer:

xy+x−y−1

We factor this expression by making groups of 2 terms

=(xy+x)+(−y−1)

Now we take the common factors out from each group

=x(y+1)−1(y+1)

(y+1) is a common factor to each of the terms now:

=(y+1)(x−1)

(y+1)(x−1) is the Factorised form of xy+x−y−1

Step-by-step explanation:

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Answer 2

xy +x+y+1

(xy +x)+(y+1)

x(y+1)+1(y+1)

(y+1)(x+1)