2007-07-14 02:47:36 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
When subtracting fractions with similar denominators, just subtract the numerators then copy the common denominator.
x^2/(x-6) - 36/(x-6)
x^2-36/(x-6)
But remember, we can still simplify this by factorising the numerator:
(x+6)(x-6)
--------------
....(x-6)
Here we can cancel out the (x-6), leaving x+6 as the final answer. =)
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2007-07-14 02:52:38 · answer #1 · answered by Popo B 3 · 0⤊ 0⤋
x^2/x-6 - 36/x-6
(x^2 - 36) / (x - 6)
Factor the first number:
([x + 6] * [x - 6]) / (x - 6)
Cancel the dividend x - 6 with the divisor x - 6 and the quotient will be the number that remains after the cancellation:
x + 6 is the answer.
2007-07-18 08:30:05 · answer #2 · answered by Jun Agruda 7 · 2⤊ 0⤋
x^2/(x - 6) - 36/(x - 6)
= (x^2 - 36)/(x - 6)
= (x + 6)(x - 6)/(x - 6)
= x + 6
2007-07-14 11:29:40 · answer #3 · answered by Anonymous · 0⤊ 0⤋
x² / (x - 6) - 36 / (x - 6)
(x² - 36) / (x - 6)
(x - 6) (x + 6) / (x - 6)
x + 6
2007-07-14 14:04:22 · answer #4 · answered by Como 7 · 0⤊ 0⤋
Since they have a common denominator, simply subtract the numerators:
x^2-36
----------
x-6
Factor the top
(x-6)(x+6)
--------------
x-6
Remove the GCF
x+6 <---- fully simplified form.
2007-07-14 09:52:17 · answer #5 · answered by Alex 2 · 0⤊ 0⤋
Alex is correct.
2007-07-14 09:56:02 · answer #6 · answered by Isosceles 2 · 0⤊ 0⤋