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(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.

This problem has been solved

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