Question

n(m - 5n) + (5n - m) factorise the following​

Answer 1

Answer :

(5n-m) (1-n)

Step wise explanation:

n(m - 5n) + (5n-m)

Step 1:

Solving the brackets

= nm - 5n² + 5n - m

Step 2:

Rearranging the terms

= -5n² + 5n + nm - m

Step 3:

Taking out the common terms

Here , we will take common such that the a term gets common to both terms .

= 5n ( -n +1) - m ( - n +1)

= (5n - m) ( -n +1)

= (5n-m) (1 - n)

Verification :

Solving (5n - m) (1-n)

= 5n (1 - n) - m(1-n)

= 5n - 5n² - m + nm

= nm - 5n² + 5n - m

= n(m - 5n) + (5n - m)

Hence verified