Question

Factorise = (x+y)2+(x+y)​

Answer 1

To factorize : $( x + y)^{2} + ( x+ y)$

Solution :

• To factorize we can first term of given expression $(x + y )^{2}$ as :

          $(x + y) ( x+ y)$                      (i)

• Putting the value of (i) in given expression

        $(x + y) ( x+ y)$  $+ ( x + y)$

• As we can see all three term are same , therefore by taking $( x+ y)$ as common term we can get required factors.

        $( x+ y) [ ( x + y ) + 1 ]$

       Hence factors of  $( x + y)^{2} + ( x+ y)$ are $( x+ y) [ ( x + y ) + 1 ]$.

               

             

Answer 2

Given,

$(x+y)2+(x+y)$

We have to factorize the given expression,

• In mathematics , factorization or factorizing is defined as the breaking or decomposition of an entity  into a product of another entity, or, factors, which when multiplied together give the original number.

Now,

$(x+y)2+(x+y)$

Here $(x+y)$ is the common in both terms, so we have to take common

$(x+y)(2+1)$

$3(x+y)$

Therefore, the answer is $3(x+y)$.