(x-2)(x+2)+3.......explain how to factorize
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(x + 3 )(x - 1 )
Explanation:
To factor , consider the factors of the constant term - 3 which sum to give the coefficient of the x term +2
factors of - 3 are ± (1 , 3 )
The required factors are +3 and - 1 ,as they sum to +2.
⇒
x
2
+
2
x
−
3
=
(
x
+
3
)
(
x
−
1
)
This may be confirmed by distributing the brackets.