The constant term in the expansion of x(2x​​2+m/x)7 is 896. Find m.

Dear Student,

The constant term of x42x2+mx7=896Now, 2x2+mx7=7C02x27+7C12x26mx+7C22x25mx2+7C32x24mx3+7C42x23mx4+7C52x22mx5+7C62x2mx6+7C7mx7Thus, constant term of x42x2+mx7=7C62m7C62m=8967!6!1!2m=89614m=896m=89614=64

Regards

  • 0
What are you looking for?