Question

What is the quotient?

StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction
StartFraction negative (a minus 3) squared Over 147 EndFraction
StartFraction (a minus 3) squared Over 147 EndFraction
3
–3

Answer 1

Compute:
(a − 3)/7 ÷ (3 − a)/21 = (a − 3)/7 × 21/(3 − a) = 3(a − 3)/(3 − a).

Since 3 − a = −(a − 3), this equals 3(a − 3)/(−(a − 3)) = −3 (for a ≠ 3).

Answer: −3.