Factorize x^2 - x - 156
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Given :-
x² - x - 156
To Do :-
Factorize the given expression.
Solution :-
⤳ x² - x - 156
~By middle term splitting.
⤳ x² - 13x + 12x - 156
⤳ ( x² - 13x ) + ( 12x - 156 )
~ Factor out x in the first and 12 in the second group.
⤳ x( x - 13 ) + 12( x - 13 )
~Factor out common term ( x - 13 ) by distributive property.
⤳ ( x + 12 )( x - 13 )
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀
- Henceforth, the factorized form of the given expression is ( x + 12 )( x - 13 )
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