Question

x+y) ( 2x +y) + (x + y ) ( x-y) solve

Answer 1

Answer:

the  solution is 3x ( x + y )

Step-by-step explanation:

the  solution is 3x ( x + y )

Here is the solution to this equation

we know this $a^{2}$ - $b^{2}$ = (a + b) × (a - b )

so in this equation this  part (x + y ) ( x-y)  is in this  formula

so we can write  (x + y ) ( x-y) =$x^{2}$ -$y^{2}$

and ( x + y ) is multiply by  (2x + y )

and hear this answer is 2$x^{2}$ +xy +2xy + $y^{2}$

so as this equation

  (x + y) (2x + y) + (x + y) (x - y)

= 2$x^{2}$ +xy +2xy + $y^{2}$ + $x^{2}$ -$y^{2}$  

= 3$x^{2}$ + 3xy  [ because +$y^{2}$- $y^{2}$ = 0]

= 3x( x + y)

so the final equation is  3x( x + y)