Question

The H.C.F. of x^2-9 and x^2+5x+6 is *

Answer 1

Answer:

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Step-by-step explanation:

x

2

−5x+6=x

2

−2x−3x+6

=x(x−2)−3(x−2)

=(x−2)(x−3)

x

2

−9=(x−3)(x+3)

∴HCFof(x

2

−5x+6)and(x

2

−9)=x−3

Answer 2

Answer:

x

2

−5x+6=x

2

−2x−3x+6

=x(x−2)−3(x−2)

=(x−2)(x−3)

x

2

−9=(x−3)(x+3)

∴HCFof(x

2

−5x+6)and(x

2

−9)=x−3