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How do I form an algebraic fraction into a single fraction in its simplest form?

When starting with a fraction with 2 individual components, before any addition, subtraction or simplification can take place, the first step will be making them both having the same denominator. Once you ha...
AS
Answered by Axel S. • Maths tutor
8877 Views

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, 16x 2 + 4x 3 , take a factor of 4x 2 out to get 4x 2 (4 + x). Then look at the denominator of the fraction, x 3 + 2x 2 - 8x, immediately yo...
MS
Answered by Manon S. • Maths tutor
3854 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 isn't nee...
MS
Answered by Manon S. • Maths tutor
3579 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 (turning p...
DM
Answered by Dimuthu M. • Maths tutor
4090 Views

How do we integrate x^2?

(x^3)/3 + C
MK
Answered by Mueen K. • Maths tutor
4201 Views