Question

$x {}^{2} - y {}^{2}$
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Answer 1

Answer:

(x-y) (x+y).......,.

Answer 2

Notice that when you multiply

(x−y)by

(x+y) then the terms in xy

cancel out, leaving

x2−y2

...

(x−y)(x+y)=x2+xy−yx−y2

=x2+xy−xy−y2

=

x2−y2

In general, if you spot something in the form

a2−b2

then it can be factored as

(a−b)(a+b)

For example:

9x2−16y2=(3x)2−(4y)2=(3x−4y)(3x+4y)