Question

(i) 5ph - 10qk + 2 rph - 4qrk
FACTORISE IT​

Answer 1

Split 5ph - 10qk + 2phr - 4qkr

into two 2-term polynomials

- 10qk + 5ph and + 2phr - 4qkr

This partition did not result in a factorization. We'll try another one:

5ph - 10qk and + 2phr - 4qkr

This partition looks good

1.2 Pull out from each binomial separately

5ph - 10qk = 5 • (ph - 2qk)

+ 2phr - 4qkr = + 2r • (ph - 2qk)

1.3 Add up to arrive at the desired factorization

(5 + 2r) • (ph - 2qk)

Factorization found :

(5 + 2r) • (ph - 2qk)

any doubts ask me and wrong answer ask me