Question

simplify the following fraction. $\frac{3b^{2}-4ab+10b}{-2b}$

Explanation:

Step1: Factor numerator terms

Factor out the common term \(b\) from the numerator:
\(3b^2 - 4ab + 10b = b(3b - 4a + 10)\)

Step2: Cancel common factors

Cancel the common factor \(b\) from numerator and denominator:
\(\frac{b(3b - 4a + 10)}{-2b} = \frac{3b - 4a + 10}{-2}\)

Step3: Rewrite the fraction

Rewrite the result to simplify the negative sign:
\(\frac{3b - 4a + 10}{-2} = -\frac{3b - 4a + 10}{2} = \frac{4a - 3b - 10}{2}\)

Answer:

$\frac{4a - 3b - 10}{2}$ or $-\frac{3b - 4a + 10}{2}$