Question

a+b-3+(b-a+3)+(a-b+3)

Answer 1

The value of a + b - 3 + (b - a + 3) + (a - b + 3) = a + b + 3

Step-by-step explanation:

We have,

a + b - 3 + (b - a + 3) + (a - b + 3)

To find, the value of a + b - 3 + (b - a + 3) + (a - b + 3) = ?

∴ a + b - 3 + (b - a + 3) + (a - b + 3)

= a + b - 3 + b - a + 3 + a - b + 3

= a - a + a + b + b - b - 3 + 3 + 3

= (2a - a) + (2b  - b)  + (6 - 3)

= a + b + 3

Thus, the value of a + b - 3 + (b - a + 3) + (a - b + 3) = a + b + 3

Answer 2

♣ Qᴜᴇꜱᴛɪᴏɴ :

$a\:+\:b\:-\:3\:+\:\left(b\:-\:a\:+\:3\right)\:+\:\left(a\:-\:b\:+\:3\right)$

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♣ ᴀɴꜱᴡᴇʀ :

$a+b-3+\left(b-a+3\right)+\left(a-b+3\right)=a+b+3$

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♣ ᴄᴀʟᴄᴜʟᴀᴛɪᴏɴꜱ :

$a+b-3+\left(b-a+3\right)+\left(a-b+3\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=a+b-3+b-a+3+a-b+3$

$\mathrm{Group\:like\:terms}$

$=a-a+a+b+b-b-3+3+3$

$\mathrm{Add\:similar\:elements:}\:a-a+a=a$

$=a+b+b-b-3+3+3$

$\mathrm{Add\:similar\:elements:}\:b+b-b=b$

$=a+b-3+3+3$

$\mathrm{Add/Subtract\:the\:numbers:}\:-3+3+3=3$

$=a+b+3$