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 + 4p^2 + 2pq - qp + q
This can be factorised in this way
p(2p(q+4)+(q+4))+q
and then further
p(q+4)(2p+1)+q
MB
Related Maths GCSE answers
All answers ▸There are green and red counters in a bag. There are 30 counters in total. The ratio of red to green counters is 1 : 5. There are 5 red counters in the bag. How many green counters are in the bag?
Solve 10(x + 2) – (2x – 9) = 30
Rationalise the denominator of the fraction 3/sqrt(5)
Solve these simultaneous equations algebraically: y=2x^2 - 7x + 4 & y=4x-1