Simplify ab-3a+5b-15/15+3a^2-5b-a^2b?
Favorite Answer
I’m going to assume that by “a^2b” you mean “ba^2”, because few teachers are that mean.
Rearrange:
3a^2 – a^2b – 3a + ab + 5b – 5b – 15/15
Simplify:
3a^2 – a^2b – 3a + ab – 1
Divide by ‘a’:
a (3a – ab – 3 + b) – 1
Reduce (3a – ab – 3 + b):
a (3 – b) – (3 – b) = (a – 1) (3 – b)
Therefore:
“a (a – 1) (3 – b) – 1” is your answer.
Unless you meant:
(ab – 3a + 5b – 15) / (15 + 3a^2 – 5b – a^2b)
Simplify the top:
(ab – 3a + 5b – 15)
Reverse distribution:
a (b – 3) + 5 (b – 3)
Group:
(a + 5) (b – 3)
Simplify the bottom:
(15 + 3a^2 – 5b – a^2b)
Rearrange:
(3a^2 – a^2b – 5b + 15)
Reverse distribution:
a^2 (3 – b) + 5 (- b + 3)
Group:
(a^2 + 5) (3 – b)
Show entire fraction:
((a + 5) (b – 3)) / ((a^2 + 5) (3 – b))
Because -(b – 3) = (- b – – 3) = (- b + 3) = (3 – b),
Therefore:
“-(a + 5) / (a^2 + 5)” is your answer.
I hope this helps!
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