Q3 of 105 Page 271

Factorise the following:

m2 – mn + 4m – 4n

In the given expression


Check weather there is any common factors for all terms;


None;


Regrouping the 1st 2 terms we have,


m2 - mn= m[m - n] -------eq 1


Regrouping the last 2 terms we have,


4m – 4n = 4[m – n] -------eq 2


Combining eq 1 and 2


m2 – mn + 4m – 4n = 4[m – n] + m[m - n]


= [4 + m][m-n]


Hence the factors of m2 – mn + 4m – 4n are [m – n] and [4 + m]


More from this chapter

All 105 →