The Student Room Group

is this correct?

cccccc.pngthanks :smile:
Reply 1
It is that ... but you need to actually simplify

If you had not multiplied the brackets in the denominator you would have seen how to cancel
Reply 2
you can simplify it more
Reply 3
Original post by Albino
you can simplify it more

how?:colondollar:

do I need to factorize?
Reply 4
Original post by madfish
how?:colondollar:

do I need to factorize?


mhm dont expand brackets until the end because its easier to spot cancelling
Original post by TenOfThem
It is that ... but you need to actually simplify

If you had not multiplied the brackets in the denominator you would have seen how to cancel


Original post by madfish
how?:colondollar:

do I need to factorize?


Dropped a negative. Those aren't equivalent.

1x+31x2=(x2)(x+3)(x+3)(x2)\dfrac{1}{x+3} - \dfrac{1}{x-2} = \dfrac{(x-2)-(x+3)}{(x+3)(x-2)}
Reply 6
Original post by Indeterminate
Dropped a negative. Those aren't equivalent.

1x+31x2=(x2)(x+3)(x+3)(x2)\dfrac{1}{x+3} - \dfrac{1}{x-2} = \dfrac{(x-2)-(x+3)}{(x+3)(x-2)}

wait.. so it would simplify to "-1"?
Reply 7
Original post by madfish
wait.. so it would simplify to "-1"?


No, the numerator simplifies to

(x2)(x+3)=x2x3=23=5(x-2) - (x+3) = x-2-x-3 = -2-3 = -5
Reply 8
Original post by Noble.
No, the numerator simplifies to

(x2)(x+3)=x2x3=23=5(x-2) - (x+3) = x-2-x-3 = -2-3 = -5

I thought the (x+3) and (x-2) cancel each other?
Reply 9
Original post by madfish
I thought the (x+3) and (x-2) cancel each other?


Cancel each other how?
Reply 10
Original post by Noble.
Cancel each other how?

there is one of each in both the numerator and denominator?
Reply 11
Original post by madfish
there is one of each in both the numerator and denominator?


Ok, let's assume what you're saying is true - that:

1x+31x2=(x2)(x+3)(x+3)(x2)=1\dfrac{1}{x+3} - \dfrac{1}{x-2} = \dfrac{(x-2)-(x+3)}{(x+3)(x-2)} = -1

Then this implies two things, firstly it implies that no matter what values of xx you insert, you always get -1 and secondly it implies that for any two values of x you get the same answer. Neither of which is true. Try x=0x=0 - do you get -1?
Original post by Indeterminate
Dropped a negative.


must be asleep
Reply 13
Original post by madfish
cccccc.pngthanks :smile:


i was think is going to be biology question because i knowing you say is difficult?
Reply 14
Original post by Mullah.S
i was think is going to be biology question because i knowing you say is difficult?

Yea, memorizing that amount of information can be quite challenging at times
Original post by madfish
Yea, memorizing that amount of information can be quite challenging at times


So, made any progress from where we were last?

You did everything correct apart from dropping the negative, so you can state the correct answer immediately and simplify. Hint: leave the denominator in factorised form.
(edited 11 years ago)

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