Question

Найдите згачение выражения a2-9/6a2-18a

Answer 1

( а^2 - 9 ) / ( 6а^2 - 18а ) = ( ( а - 3 )( а + 3 )) /( 6a( a - 3 )) = ( a + 3 ) / 6a

Answer 2

Expression Analysis: a^2-9/6a^2-18a

The given expression is a^2-9/6a^2-18a.

To analyze this expression, we can break it down into its components and simplify it.

The expression can be rewritten as: (a^2 - 9) / (6a^2 - 18a).

Let's proceed to simplify this expression.

Simplification:

The given expression can be simplified by factoring the numerator and the denominator separately.

The numerator can be factored as: (a + 3)(a - 3). The denominator can be factored as: 6a(a - 3).

Now, the expression becomes: (a + 3)(a - 3) / 6a(a - 3).

We can cancel out the common factor (a - 3) from the numerator and the denominator.

The simplified expression is: (a + 3) / 6a.

Therefore, the simplified form of the given expression a^2-9/6a^2-18a is (a + 3) / 6a.

This simplification is based on the factoring of the numerator and the denominator, which results in the cancellation of the common factor.