Question

Сократить дробь 4а^2-9/2а-3

Answer 1

(2a-3)(2a+3)/2a-3=2a+3

Answer 2

To simplify the fraction (4a^2 - 9)/(2a - 3), we can factor the numerator and denominator and then cancel out common factors:

Step 1: Factor the numerator and denominator: Numerator: 4a^2 - 9 can be factored as the difference of squares: (2a + 3)(2a - 3). Denominator: 2a - 3 is already factored.

Step 2: Cancel out common factors: Now we can cancel the common factor of (2a - 3) from the numerator and denominator:

(2a + 3)(2a - 3) / (2a - 3)

Step 3: Simplify: The common factor (2a - 3) cancels out, leaving us with:

= 2a + 3

So, the simplified form of the fraction is 2a + 3.