Question

3y(x-2)^2-2(2-x) factorize the term

Answer 1

Answer:

You factor as follows: Put a = (x-y). Then 3(x-y)^2 -2(x-y) becomes 3a^2 - 2a

which is very easy to factor since a divides into each term. Clearly 3a^2–2a =

a(3a-2). Now replace a by (x-y) and expression becomes (x-y)(3(x-y)-2)

= (x-y)(3x-3y-2). If you recognize that (x-y) is a factor throughout you can

immediately pull it out (x-y) and then divide the expression by the factor and

put the result in brackets following (x-y) getting (x-y)(3(x-y)-2) = (x-y)(3x-3y-2).

Quite often, larger expressions can contain smaller expressions which may be

repeated several times. Substitutions like a = (x-y) are sometimes very useful

in removing clutter and making factors more obvious