(2m – 5) (3a - 2b) - (2m – 5) (2b – 3a)
Question
(2m – 5) (3a - 2b) - (2m – 5) (2b – 3a)
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Solution
Sure, let's solve this step by step:
First, distribute the terms in the first two brackets:
(2m – 5) * (3a - 2b) = 6am - 4bm - 15a + 10b
Then, distribute the terms in the last two brackets:
(2m – 5) * (2b – 3a) = 4bm - 6am - 10b + 15a
Now, subtract the second expression from the first:
(6am - 4bm - 15a + 10b) - (4bm - 6am - 10b + 15a)
= 6am - 4bm - 15a + 10b - 4bm + 6am + 10b - 15a
= 12am - 8bm - 30a + 20b
So, the simplified form of the given expression is 12am - 8bm - 30a + 20b.
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