Find the 6th term in the expansion of (x2 + y2 )15

The term in the binomial expansion can be found using the formula:

(nCr) * (a^(n-r)) * (b^r)

where:

• n is the power on the binomial (in this case, 15),
• r is the term number minus 1 (in this case, 6 - 1 = 5),
• a is the first term in the binomial (in this case, x^2), and
• b is the second term in the binomial (in this case, y^2).

So, the 6th term in the expansion of (x^2 + y^2)^15 is:

(15C5) * (x^2)^(15-5) * (y^2)^5

= 3003 * (x^2)^10 * (y^2)^5

= 3003 * x^20 * y^10

So, the 6th term in the expansion of (x^2 + y^2)^15 is 3003x^20y^10.