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Express (16x^2 + 4x^3)/(x^3 + 2x^2 - 8x) + 12x/(x-2) as one fraction in its simplest form.

Answer: 16x/(x - 2)

Start with the numerator of the first fraction, 16x2 + 4x3 , take a factor of 4x2 out to get 4x2(4 + x). Then look at the denominator...

MS
Answered by Manon S. Maths tutor
3484 Views

In a bag of 25 coloured balls, 7 are orange, 6 are yellow and the rest are green. Laura picks out a ball and records its colour but doesn't return it to the bag, she then repeats this twice more. What is the probability of Laura getting 3 yellow balls?

Answer: 1/115

The easiest way to solve this problem is to draw part of a tree diagram to see the probabilites of each colour being picked each time Laura pulls a ball out of the bag (a full diagram...

MS
Answered by Manon S. Maths tutor
3146 Views

Is there an easy way to remember all the basic graphical transformations?

Well yes! Say you're given an equation of y=f(x), you begin by sketching the graph if plotting it is not part of the question, the reason you do this is to get an idea of what the graph looks like (turnin...

DM
Answered by Dimuthu M. Maths tutor
3461 Views

How do we integrate x^2?

(x^3)/3  + C

MK
Answered by Mueen K. Maths tutor
3714 Views

How do I rationalised and simplify surds?

Say I have a fraction with 2 surds, such as √10 / √6. To rationalise this, we need to get the dominator (bottom fraction) to be an integer. As √10 / √6 x 1 still gives √10 / √6, and we can write 1 as √6 /...

TG
Answered by Tabitha G. Maths tutor
4403 Views

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