if x sq.-bx+c=(x+p) (x-q) then factorise x sq.-bxy+cy sq.

Asked by eeshan.nk | 23rd Jul, 2016, 10:59: PM

Expert Answer:

begin mathsize 16px style straight x squared minus bx plus straight c equals left parenthesis straight x plus straight p right parenthesis left parenthesis straight x minus straight q right parenthesis
rightwards double arrow straight x squared minus bx plus straight c equals straight x squared plus left parenthesis straight p minus straight q right parenthesis straight x minus pq
rightwards double arrow straight b equals straight q minus straight p comma space straight c equals negative pq
So comma space straight x squared minus bxy plus cy squared equals straight x squared plus left parenthesis straight p minus straight q right parenthesis xy minus pqy squared
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight x squared plus pxy minus qxy minus pqy squared
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight x left parenthesis straight x plus py right parenthesis minus qy left parenthesis straight x plus py right parenthesis
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals left parenthesis straight x plus py right parenthesis left parenthesis straight x minus qy right parenthesis end style

Answered by Rebecca Fernandes | 24th Jul, 2016, 12:30: PM