Factorize the following expressions
x²-x-6
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x^2 - x - 6
Splitting the middle term,
x^2 + 2x - 3x - 6
Taking out the common factors,
x ( x + 2 ) - 3 ( x + 2 )
Taking out ( x + 2 ) as common,
( x + 2 ) ( x - 3 )
Ans. x^2 - x - 6 = ( x + 2 ) ( x - 3 )
Step-by-step explanation:
x²-(3x-2x)-6
x²-3x+2x-6
x(x-3)+2(x-3)
Therefore:(x-3)(x+2)
x-3=0 || x+2=0
x=3. || x= -2
Therefore take the value of x as 3....cause it is +ve.....It is easy to preform tasks.....Hope it helps you......And also all the best for your future studies