Question

if a=x+2y b=x-2y,find(2a+b)-(a-2b)
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Answer 1

Answer:

Step-by-step explanation:

a=x+2y

b=x-2y

(2a+b)-(a-2b) = (2x+4y+x-2y)-(x+2y-2x+4y)

                     =(3x+2y)-(-x+6y)

                     =(3x+2y+x-6y)

                    =(4x-4y)

                    =4(x-y)

Answer 2

(2a+b)-(a-2b) = 4(x-y)

Given:

a=x+2y b=x-2y

To find:

(2a+b)-(a-2b)

Solution:

We have to find (2a +b) - (a-2b)

First we will solve this only and then put the values of a and b in the equation

(2a +b) - (a-2b)

= 2a + b - a + 2b

= a + 3b

Putting given values of a and b in the equation

a + 3b = x + 2y + 3(x-2y)

= x + 2y + 3x - 6y

= 4x - 4y

= 4(x-y)

Hence, the answer is 4(x-y).

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