Question

x2 -y2- x-y factorise​

Answer 1

Step-by-step explanation:

=x²-y²-x-y

=(x²-y²)-1(x+y)

=(x+y)(x-y)-1(x+y). ,(x²-y²)=(x+y)(x-y)

=(x+y){(x-y)-1}

=(x+y)(x-y+1)

I hope it helps you,BDW my name is Souvik Das

Answer 2

SOLUTION

TO FACTORISE

$\sf{ {x}^{2} - {y}^{2} - x - y}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

$\sf{ {x}^{2} - {y}^{2} =(x + y) ( x - y)}$

EVALUATION

Here the given expression is

$\sf{ {x}^{2} - {y}^{2} - x - y}$

We factorise it as below

$\sf{ {x}^{2} - {y}^{2} - x - y}$

$\sf{ = ( {x}^{2} - {y}^{2}) -( x + y)}$

$\sf{ = ( x + y)( x - y) -( x + y)}$

$\sf{ = ( x + y)( x - y - 1) }$

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