Hey can anyone explain how to factorise 7p^2 - 6pq- 16q^2?
Have a good eye:
(7p2−14pq)+(8pq−16q2)
Otherwise, you can rewrite as q2(7q2p2−6qp−16) and factorise the inside polynomial in terms of qp before multiplying through by q2 (note: distribute one q into each bracket)
Otherwise, you can rewrite as q2(7q2p2−6qp−16) and factorise the inside polynomial in terms of qp before multiplying through by q2 (note: distribute one q into each bracket)
You don't need to take out q^2. Simply observe that it's the same as factorising 7x^2-6x-16, only with p and q instead of x and constant.