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simplify (2q+4)/(p(p+1)) -q/p

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p

notice that p can be cancelled in the right fraction, and then times out to give

2qp^2 + 4p...

Answered by Madeleine B. • Maths tutor

3156 Views

How do you integrate?

Ok so there are two basic steps to integrating a function:

You add 1 to the power of any x term. e.g. x²-> x³, 2x⁷ -> 2x⁸, 3 = 3x
JS
Answered by Jeremy S. • Maths tutor
3633 Views

Find the indefinite integral of cos^2 x

First, we need to write cos²x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos²x - 1 to see that cos²x = 1/2cos(2x)+1/2. Now, we can...

Answered by Ethan R. • Maths tutor

9079 Views

How do I solve simultaneous equations by substitution?

Often, substitution is used when dealing with quadratic simultaneous equations as the other method, elimination, is more straightforward and can be used to solve linear equations but it cannot be used for...

Answered by Niamh M. • Maths tutor

5334 Views

Hannah's sweet problem (Edexcel 2015): There are n sweets, 6 are orange, rest of the sweets are yellow. She takes 2 sweets randomly without replacing them and the probability that 2 orange sweets are chosen is 1/3. Show that n^2-n-90 = 0.

Draw a probability tree diagram. For this question, only two branches are required (orange and orange). At the start, there are n sweets in total, 6 are orange, so p(O) = 6/n. On our second pick, there ar...

Answered by Yimin Z. • Maths tutor

5121 Views