Question

Factorise the following terms:
x²+ y²+ x + y +2xy

Answer 1

Answer:

(x+y) (x+y+1)

Step-by-step explanation:

(x+y)^2 + (x+y)+2xy-2xy

= (x+y) (x+y+1)

hope it helps

Answer 2

Answer:

${x}^{2} + {y}^{2} + x + y + 2xy \\ = ( {x}^{2} + {y}^{2} + 2xy) + x + y \\ = {(x + y)}^{2} + x + y \\ = (x + y)(x + y + 1)$

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