Question

the expansion of (m+3/2) (m+1/2) is​

Answer 1

(1+a1x+a2x2+...)(1−p1x+p2x2+...)

Hence coefficient of x will be

=−p1+a1

=−nC1+mC1

=m−n

=3 ...(i)

Coefficient of x2 will be

=p2−a1p1+a2

=nC2−nC1nC2+mC2

=2n(n−1)−mn+2m(m−1)

=−6

Hence

n2−n−2mn+m