what is the quotient?\n$\frac{a - 3}{7}div\frac{3 - a}{21}$\n$\frac{-(a - 3)^2}{147}$\n$\frac{(a…

what is the quotient?\n$\frac{a - 3}{7}div\frac{3 - a}{21}$\n$\frac{-(a - 3)^2}{147}$\n$\frac{(a - 3)^2}{147}$\n$3$\n$-3$

what is the quotient?\n$\frac{a - 3}{7}div\frac{3 - a}{21}$\n$\frac{-(a - 3)^2}{147}$\n$\frac{(a - 3)^2}{147}$\n$3$\n$-3$

Answer

Explanation:

Step 1: Convert division to multiplication by reciprocal

$\frac{a-3}{7} \div \frac{3-a}{21} = \frac{a-3}{7} \times \frac{21}{3-a}$

Step 2: Factor out negative sign in denominator

$3 - a = -(a - 3)$, so $\frac{21}{3-a} = \frac{21}{-(a-3)} = -\frac{21}{a-3}$

Step 3: Multiply and cancel common factors

$\frac{a-3}{7} \times -\frac{21}{a-3} = -\frac{21}{7} = -3$ (cancel $a-3$ terms, simplify $\frac{21}{7}$)

Answer:

-3