Question

5a-4b/4a + 21a-10b/4a​

Answer 1

Ответ:

26a-4b

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a

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Answer 2

Объяснение:

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Answer 3

To simplify the expression (5a - 4b)/(4a) + (21a - 10b)/(4a), we can combine the fractions by finding a common denominator. In this case, the common denominator is 4a.

First, let's simplify the first fraction:

(5a - 4b)/(4a) = (5a)/(4a) - (4b)/(4a) = 5/4 - b/a

Now, let's simplify the second fraction:

(21a - 10b)/(4a) = (21a)/(4a) - (10b)/(4a) = 21/4 - 5b/2a

Combining the fractions, we have:

(5a - 4b)/(4a) + (21a - 10b)/(4a) = (5/4 - b/a) + (21/4 - 5b/2a)

To add the fractions, we need a common denominator of 4. Multiply the first fraction by (2a)/(2a) and the second fraction by (4)/(4):

= (5/4)(2a)/(2a) - (b/a)(2a)/(2a) + (21/4)(4)/(4) - (5b/2a)(4)/(4) = (10a)/(8a) - (2ab)/(8a) + (84)/(16) - (20b)/(8a)

Combine the terms:

= (10a - 2ab + 84 - 20b)/(8a)

Thus, the simplified expression is:

(5a - 4b)/(4a) + (21a - 10b)/(4a) = (10a - 2ab + 84 - 20b)/(8a)