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A day full of math games & activities. Find one near you.
Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x.
Solution:
1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x
It can be mathematically represented as
[ (1 / 36) - (1 / x²) ] / [ (1 / 6) + (1 / x) ]
Taking LCM
= [ (x² - 36) / 36x² ] / [ (x + 6) / 6x ]
We know that
x² - 36 = (x + 6)(x - 6)
So we get
= [ (x+6)(x-6) / 36x² ] / [ (x + 6) / 6x ]
Here
= [ (x+6)(x-6) / 36x² ] × [ 6x / (x + 6) ]
= [ (x+6)(x-6) / 6x ] × [ 1 / (x+6) ]
= (x - 6) / 6x
Therefore, quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x is (x - 6) / 6x.
Simplify quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x.
Summary:
Simplifying quantity 1 over 36 minus 1 over x squared all over 1 over 6 plus 1 over x, we get (x - 6) / 6x.
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