Question

14. Subtract a + 2b from sum of a - b and 2a+b
(a) 2a - 26
(b) 4a +26
(c) 2b​

Answer 1

Step-by-step explanation:

Hi,

• Sum of a - b and 2a + b

=> a - b + 2a + b

=> a + 2a - b + b

=> 3a

Now, Subtract a + 2b from 3a.

=> 3a - ( a + 2b )

=> 3a - a - 2b.

=> 2a - 2b [ Answer ]

Hope it will help you :)

Answer 2

Given:

a+2b, 2a+b, and a-b

To find:

The value of (a-b)+(2a+b)-(a+2b)

Solution:

The value of (a-b)+(2a+b)-(a+2b) is 2a-2b. (Option a)

We can find the value by following the given steps-

We know that the value can be obtained by adding and subtracting the given terms.

We are given that (a+2b) is to be subtracted from the sum of (a-b) and (2a+b).

So, we will first obtain the sum and then subtract.

The sum of (a-b) and (2a+b)=(a-b)+(2a+b)

=a-b+2a+b

=3a

Now, we will subtract a+2b from 3a.

=3a-(a+2b)

=3a-a-2b

=2a-2b

Therefore, the value of (a-b)+(2a+b)-(a+2b) is 2a-2b.