Question

1. Find the 4th term of (2x+3y)^5

2. Find the 3rd term of (4x+y)^8

Use the Binomial Expansion to Find a Specific Term. Use that step.

Answer 1

1. 1080x^2y^3

2. 114688x^6y^2

Explanation:

1. binomial expansion : 32x^5+240x^4y+720x^3y^2+1080x^2y^3+810xy^4+243y^5

fourth term is 1080x^2y^3

2. binomial expansion:

65536x^8+131072x^7y+114688x^6y^2+57344x^5y^3+17920x^4y^4+3584x^3y^5+448x^2y^6+32xy^7+y^8

third term is 114688x^6y^2