Question 5 : Factorize x 2 − y 2 − 6y − 9
Question 5: Factorize
How to factorize ?
Solution:
This is a problem of factorization in which two type of factoring is applicable We first reform the expression’s one part to be a whole square and then finally get x2-y2 form to factorize.
Given expression is
First we reform last three terms to whole square format. For this we take minus sign out from the terms – making inner bracket terms positive!
so, we get
We brake mid term in the bracket in two terms like that on left and right- and form it like a2+2ab+b2 from.
so,
We see that the terms in side bracket are now whole square of y+1
hence,
now we apply x2-y2 formula to factorize !
hence finally
This the factorization !
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