Question

factotise the following (1to9) polynomias5p2-8pq-10p+16q

Answer 1

5p²-8pq-10p+16q

=> 5p²-10p-8pq+16q
(rearranging the terms)

=> 5p(p-2)-8q(p-2)

(taking 5p common from first two terms i.e. 5p²,10p
and taking 8q common from next two terms i.e. 8pq+16q)

=> (p-2) (5p-8q)


hope this helps

Answer 2

Given 5p^2 - 8pq - 10q + 16q can be written as

        =   5p^2 - 10q + 16q - 8pq

        =  5p(p - 2) - 8q(p - 2)

        =  (p-2)(5p-8q).


Hope this helps! :)