Question

. The factorisation of x2 + xy + 2x + 2y is
A) (x + 2)(x + y)
B) (x + 2)(x - y)
C) (x - 2)(x + y)
D) (x - 2)(x - y)​

Answer 1

x(x+y)−2

(x+y)

Factor the polynomial by factoring out the greatest common factor,

x+y.

(x+y)(x−2)

Answer 2

The factorisation of x² + xy + 2x + 2y is (x + 2)(x + y)

Given :

The expression x² + xy + 2x + 2y

To find :

The factorisation of x² + xy + 2x + 2y is

A) (x + 2)(x + y)

B) (x + 2)(x - y)

C) (x - 2)(x + y)

D) (x - 2)(x - y)

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

x² + xy + 2x + 2y

Step 2 of 2 :

Factorise the expression

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

$\sf = x(x + y) + 2(x + y)$

$\sf = (x + 2) (x + y)$

Hence the correct option is A) (x + 2)(x + y)