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

Question

asked Jan 21, 2018 71.0k views

2 Answers

Goss · Answer 1 · 2018-01-25T02:57:55+0000

Answer:

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

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