factorise 2mk - m - p (1 - 2k) by grouping

Question

Please factorise by grouping and show a step by step method.

Answer 1

Question: factorise 2mk - m - p (1 - 2k) by grouping.

2mk - m - p (1 - 2k)    ---  take out a factor of m from the 1st two terms

m(2k - 1) - p(1 - 2k)   ---  change the sign of the 1st product

-m(1 - 2k) - p(1 - 2k)  ---  take out the common factor of (1 - 2k)

(1 - 2k)(-m - p)           ---  adjust the sign

(2k - 1)(m + p)