Question

3b^2-10b+3/b^2-3b сократить дробь

Answer 1

Все на картинке.....

Answer 2

To simplify the fraction (3b^2 - 10b + 3) / (b^2 - 3b), we need to factor both the numerator and the denominator, then cancel out common factors.

Step 1: Factor the numerator (3b^2 - 10b + 3): The numerator is a quadratic expression, and we need to find two binomials whose product gives us the original expression. The factored form of the numerator will look like this:

3b^2 - 10b + 3 = (3b - 1)(b - 3)

Step 2: Factor the denominator (b^2 - 3b): The denominator is also a quadratic expression, and we need to factor it as well:

b^2 - 3b = b(b - 3)

Step 3: Simplify the fraction by canceling out common factors: Now, we can rewrite the fraction as:

(3b^2 - 10b + 3) / (b^2 - 3b) = (3b - 1)(b - 3) / b(b - 3)

Notice that (b - 3) appears in both the numerator and denominator, so we can cancel it out, leaving us with the final simplified fraction:

(3b - 1) / b