Question

(x+y)² + 2(x+y) + 1 is equivalent to​

Answer 1

Answer:

$\huge\bold\red{ANSWER}$

Step-by-step explanation:

$\large{\underline{\rm{\purple{SOLUTION :}}}}$

$\implies$ $\sf{we\:know\:that\:(x+y)^2=x^2+y^2+2xy}$

     apply it in the given equation

$\implies$ $\sf{x^2+y^2+2xy+2x+2y+1}$

     $\sf{x^2+2x+2xy+y^2+2y+1}$

∴ taking x common and y common

     $\sf{x(x+2+2y)+y(y+2+2x)}$