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B) 2x (x - y) + 3y (x - y)​

2 Answers

2 votes

Taking common

Answer: 2x (x-y) + 3y (x-y)

= ( x-y ) ( 2x-3y )

User Pratikpawar
by
3.4k points
4 votes

Use distributive law


\boxed{\sf a(b+c)=ab+ac}

Now


\\ \sf\longmapsto 2x(x-y)+3y(x-y)


\\ \sf\longmapsto 2x^2-2xy+3xy-3y^2


\\ \sf\longmapsto 2x^2-3y^2-2xy+3x^2


\\ \sf\longmapsto 2x^2-3y^2+xy

User Nisarg
by
3.5k points