Question

can someone please help me

Answer 1

It says that if there are four terms each containing two letters then make pair of any two terms with one character similar. After this take the similar character common in both of the pair and same with the other pair also. Then the characters left will be same and hence just take the left same characters from each pair and the factorisation is complete. Eg-

To factorise mn+xy+my+xn

1 step

Make pairs i.e. first pair-- mn+my and second pair- xy+xn

2 step

Now take common character from each pair i.e. from pair1 take m common and from pair2 take x common .

Now left part is (y+n) in both the parts.

Step 3

Take (y+n) common and hence factorised.

Solution is-

1. (mn+my) + (xy+xn)

2.m(n+y) + x(y+n)

3.(m+x)(y+n)

Hence factorised..

Hope shall help you..

Thanks