Question

The factors of (x+2)² – y² *

Answer 1

Step-by-step explanation:

Try to separate it into different parts and try to use a substitution as follows:

step 1 factorise x2−y2x2−y2 :

x2−y2=(x+y)(x−y)x2−y2=(x+y)(x−y)

step 2 let a=x−ya=x−y :

so

x2−y2+x−y=(x+y)(x−y)+(x−y)x2−y2+x−y=(x+y)(x−y)+(x−y)

replacing x-y to aabecomes

x2−y2+x−y=(x+y)a+ax2−y2+x−y=(x+y)a+a

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

taking back from a the x-y:

a((x+y)+1))=(x−y)(x+y+1)

Answer 2

Step-by-step explanation:

${(x + 2)}^{2} - {y}^{2}$

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

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

so, X+y = -2 –(i)

and, x-y = -2 –(ii)

adding (i) and (ii), X= 0, y= 2

so, factors are 0, 2