Tuesday, July 28, 2009

Express this as a single fraction in its simplest form: (a-b/c) x (c^2/a^2-b^2)?

could you show your workings please. Thanks

Express this as a single fraction in its simplest form: (a-b/c) x (c^2/a^2-b^2)?
a-b c^2


----- X --------------


c (a^2 -b^2)





(a^2-b^2)=(a-b)(a+b)





u gotta cross out (a-b) on the left on the top with (a-b)on thte right bottom


and than c on the left bottom and one c on the right top





solution


c/a+b
Reply:It's so easy mate


= (a-b/c) * (c^2/a^2-b^2)


= (a-b/c)* (c^2/{a+b}{a-b}) a-b is cancelled


= (1/c)* (c^2/{a+b} after a-b is cancelled, the remaining part


= (1/1)* (c/a+b) c is cancelled


= c/a+b that is the Answer
Reply:(a-b/c) x (c^2/a^2-b^2)





(a-b) x (c/a^2-b^2)





(a-b) x (c/(a+b)(a-b))





c/(a+b)
Reply:(a-b)/c x c²/(a²-b²)





a²-b²=(a-b)(a+b)





(a-b)/c x c²/(a²-b²) = (a-b)/c x c²/((a-b)(a+b))


= c/(a+b)


No comments:

Post a Comment