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i. 25 x²- 36
=> (5x)² - (6)²
We know that :-
a²-b² =( a+b)( a-b)
=> (5x - 6) (5x + 6)
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ii. x²+9x+14
We will factorize this by using middle term splitting method.
Now,( 7x)× (2 x )= 14 x²
7x+ 2 x = 9 x
=> x²+7x+2x+14
=>x (x+7)+2(x+7)
taking out (x+7) as common :-
=> (x+7)(x+2)
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Additional Information :-
why do we factorize ?
⏩We factorize to find out factors of a number. Any number can be presented or expressed in the form of its factor.
For example :-
1. Factors of 10 are 2 and 5.
Therefore , 10= 2×5
2. Factors of 3m are 3 and m.
Therefore , 3m = 3 × m
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