Question

1. simplify the ratio

a. \\(\frac{6xh + 3h^2 + h}{h}\\)

Explanation:

Step1: Factor out h from numerator

Factor \( h \) from each term in the numerator \( 6xh + 3h^2 + h \). We get \( h(6x + 3h + 1) \). So the expression becomes \( \frac{h(6x + 3h + 1)}{h} \).

Step2: Cancel out common factor h

Since \( h
eq 0 \) (otherwise the original expression is undefined), we can cancel out the common factor \( h \) from the numerator and the denominator. So we are left with \( 6x + 3h + 1 \).

Answer:

\( 6x + 3h + 1 \)