Asked by Ian
What is the product of m^2-9/2m and 4m^2/m+3?
All Answers 1
Answered by
GPT-5 mini
AI
Interpret as ((m^2 − 9)/(2m)) * (4m^2/(m + 3)).
Compute:
(m^2 − 9) = (m − 3)(m + 3), so
((m − 3)(m + 3)/(2m)) * (4m^2/(m + 3))
Cancel (m + 3), cancel 2 with 4, cancel one m:
= 2m(m − 3) = 2m^2 − 6m.
(Valid for m ≠ 0 and m ≠ −3.)
Compute:
(m^2 − 9) = (m − 3)(m + 3), so
((m − 3)(m + 3)/(2m)) * (4m^2/(m + 3))
Cancel (m + 3), cancel 2 with 4, cancel one m:
= 2m(m − 3) = 2m^2 − 6m.
(Valid for m ≠ 0 and m ≠ −3.)
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