Answer: 24m^2 + 13m - 7
Step-by-step explanation: To multiply the polynomials (3m-1) and (8m+7), we can use the distributive property.
First, we multiply the first term of the first polynomial (3m) by each term of the second polynomial (8m and 7).
(3m) * (8m) = 24m^2 (using the rule: a * b = ab, where a = 3m and b = 8m)
(3m) * (7) = 21m (using the rule: a * b = ab, where a = 3m and b = 7)
Next, we multiply the second term of the first polynomial (-1) by each term of the second polynomial (8m and 7).
(-1) * (8m) = -8m (using the rule: a * b = ab, where a = -1 and b = 8m)
(-1) * (7) = -7 (using the rule: a * b = ab, where a = -1 and b = 7)
Now, we can add up all the products we obtained:
24m^2 + 21m - 8m - 7
Simplifying further:
24m^2 + 13m - 7
Therefore, the product of (3m-1) and (8m+7) is 24m^2 + 13m - 7.
Hope This Helps! :D
