d Question 1: Factorize 4 x 2 − y 2 − 2y − 1 | Job Exam Rare Mathematics (JEMrare) - Solved MCQs

Question 1: Factorize 4 x 2 − y 2 − 2y − 1

5. a 2 + 2ab + b 2 – c 2 type expressions 0

Question 1: Factorize $4 x^2{}- y^{2}-2y-1$

How to factorize ?

Solution:

Given expression is

$4 x^2{}- y^{2}-2y-1$

$= 4 x^{2}-(y^{2}+2y+1)$

$= (2x)^{2}-[y^{2}+2(y)(1)+(1)^{2}]$

$= [(2x)^{2}-(y+1)^{2}]$

This now in $a^{2}-b ^{2}=(a+b)(a-b)$

where,

2x stands for a

and

(y+1) stands for b

So, according to this formula;

$=(2x-y-1)(2x+y+1)$

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Question 1: Factorize 4 x 2 − y 2 − 2y − 1

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Question 1: Factorize 4 x 2 − y 2 − 2y − 1

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