Simplify combining the like terms: a – (a – b) – b – (b – a)
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a – (a – b) – b – (b – a)
= a - a + b - b - b + a
= 0 + 0 - b + a
= a - b
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Step-by-step explanation:
a-(a-b)-b-(b-a)
a-(a-b)-b-(b-a)=> a-a+b-b-b+a
a-(a-b)-b-(b-a)=> a-a+b-b-b+a=>(now arrange the like terms) a-a+a+b-b-b
a-(a-b)-b-(b-a)=> a-a+b-b-b+a=>(now arrange the like terms) a-a+a+b-b-b=>a-b
EXPLANATION ON FUNDAMENTAL OPERATIONS (SIGNS)
=>a-(a-b) -b-(b-a)
=>a-(a-b) -b-(b-a)=>a-a+b-b-b+a (we changed the signs as we multiplied the signs in bracket and out the bracket) (+×- = -) (-×+= -) (+×+=+) (-×- =+)
ThnkYou!!
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