Question

How can ari simplify the following expression 5/a-3-4/2+1/a-3

Answer 1

B

Step-by-step explanation:

Edg2020

Answer 2

`(12-2a)/(a-3)\:\:or\:\: (6*(2-a))/(a-3)`

Step-by-step explanation:

Given Expression is

`(5)/(a-3)-(4)/(2)+(1)/(a-3)`

Step 1 : Group like terms

∵Like Terms are terms with same variable part here
`(1)/(a-3)`

`\implies(5)/(a-3)+(1)/(a-3)-(4)/(2)`

Step 2: Simplify like terms

`\implies (5+1)(1)/(a-3)-2`

`\implies(6)/(a-3)-2`

Step 3: Simplify unlike terms by taking same denominator

`\implies(6)/(a-3)-(2)/(1)`

here, LCM of both denominator is ( a - 3 )

`\implies(6)/(a-3)-((2)/(1)*(a-3)/(a-3))`

`\implies(6)/(a-3)-(2(a-3))/(a-3)`

`\implies(6)/(a-3)-(2a-6)/(a-3)`

Step 4: Simplify as they are like Rationl no.

`\implies(6-(2a-6))/(a-3)`

`\implies(6-2a+6)/(a-3)`

`\implies(12-2a)/(a-3)\:\:or\:\: (6*(2-a))/(a-3)`

Therefore, Answer is
`(12-2a)/(a-3)\:\:or\:\: (6*(2-a))/(a-3)`