Question

Hello everyone

Factorise (x+y)(2x+3y)-(x+y)(x+1)

Plz solve it

The best answer with explaination will be marked as brainliest.

Thank you ^_^

Answer 1

Hello..
Answer...

We have:
$(x + y)(2x + 3y) - (x + y)(x + 1) \\ \\ = (x + y){(2x + 3y - (x + 1)} \: \: \: \: {taking \: (x + y) \: common} \\ \\ = (x + y)(2x + 3y - x - 1) \\ \\ = (x + y)(x + 3y - 1)$
Hope this is helpful ☺☺☺☺

Answer 2

Let's simplify step-by-step.

(x+y)(2x+3y)−(x+y)(x+1)

Distribute:

=(x)(2x)+(x)(3y)+(y)(2x)+(y)(3y)+(−x^2)+(−xy)+(−x)+(−y)

=2x^2+3xy+2xy+3y^2+−x^2+(−xy)+(−x)+(−y)

Combine Like Terms:

=2x^2+3xy+2xy+3y^2+−x^2+(−xy)+(−x)+(−y)

=(2x^2+−x^2)+(3xy+2xy+−xy)+(3y^2)+(−x)+(−y)

=x^2+4xy+3y^2+(−x)+(−y)

Hope It Helps!