Question 4: Factorize x 2 − y 2 − 4 x z + 4z 2
Question 4: Factorize
How to factorize ?
Solution:
To factorize this expression we first re-arrange terms as below
so, we get ,
Now brake second term as product of 2x and 2z as below
Now first three terms are whole square expansion of (x+2y) as you see below!
so we get ,
This is now a2-b2 form expression where a= x+2z-y and b= x+2z+y, so we get
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