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

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Azmol, Ryan and Kim each played a game. Azmol’s score was four times Ryan’s score. Kim’s score was half of Azmol’s score. Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.


Factorise x^2 -7x+10, and hence solve x^2-7x+10=0


Simply fully (3x^2 - 8x - 3) / 2x^2 - 6x


Where does the quadratic formula come from?