find the number of terms in the expansion
( 3x + y )^8 - ( 3x-y )^8

Dear Student,
Please find below the solution to the asked query:

3x+y8-3x-y8=3x8+8C13x7.y+8C23x6.y2+....8C8y8-3x8-8C13x7.y+8C23x6.y2+.....+.8C8y8=all the even power terms will be cancelled=3x8+8C13x7.y+8C23x6.y2+....+8C8y8-3x8+8C13x7.y-8C23x6.y2+.....-.8C8y8=3x8-3x8+8C13x7.y+8C23x6.y2-8C23x6.y2+8C33x5.y3+8C43x4.y4-8C43x4.y4+8C53x3.y5+8C63x2.y6-8C63x2.y6+8C73x1.y7+8C8y8-8C8y8=28C13x7.y+8C33x5.y3+8C53x3.y5+8C73x1.y7hence it will have 4 terms

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  • 5
9-4=5 terms
  • -10
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