Question

Как сократить дробь (а*в-3*а-2*в+6)/(а*а-4)

Answer 1

(а*в-3*а-2*в+6)/(а*а-4)=(ab-3a-2b+6)/(a²-4)=(ab-2b)+(-3a+6)/(a-2)(a+2)=
b(a-2)-3(a-2)/(a-2)(a+2)=(a-2)(b-3)/(a-2)(a+2)=(b-3)/(a+2)

Answer 2

Simplifying the Fraction

To simplify the given fraction (a\*b-3\*a-2\*b+6)/(a\*a-4), we can factorize the numerator and the denominator and then cancel out any common factors.

The given fraction is: (a\*b-3\*a-2\*b+6)/(a\*a-4)

First, let's factorize the numerator and the denominator separately.

The numerator can be factorized as: a\*(b-3)-2\*(b-3)

The denominator can be factorized using the difference of squares formula: (a+2)(a-2)

Now, the fraction becomes: (a\*(b-3)-2\*(b-3))/((a+2)(a-2))

We can further simplify this expression by factoring out the common factor in the numerator, which is (b-3).

So, the simplified form of the given fraction is: ((b-3)(a-2))/(a+2)

This is the simplified form of the given fraction.

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