Asked by melany
What is the quotient?
StartFraction t + 3 Over t + 4 EndFraction divided by (t squared + 7 t + 12)
(t + 3) squared
(t + 4) squared
StartFraction 1 Over (t + 4) squared EndFraction
StartFraction 1 Over (t + 3) squared EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Compute:
(t+3)/(t+4) ÷ (t^2+7t+12) = (t+3)/(t+4) · 1/(t^2+7t+12).
Factor t^2+7t+12 = (t+3)(t+4), so
= (t+3)/(t+4) · 1/[(t+3)(t+4)] = 1/(t+4)^2.
(Restrictions: t ≠ −3, −4.)
(t+3)/(t+4) ÷ (t^2+7t+12) = (t+3)/(t+4) · 1/(t^2+7t+12).
Factor t^2+7t+12 = (t+3)(t+4), so
= (t+3)/(t+4) · 1/[(t+3)(t+4)] = 1/(t+4)^2.
(Restrictions: t ≠ −3, −4.)
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