Question

Find the 6th term in the expansion of (2x-5y^2)^10

Answer 1

this is my source if u want to make sure

http://www.mathportal.org/temp/img/math_983_833de6e26c6ebcf24758b06af1c33cdd.png


the sixth term is -25200000 x^5 y^10

Answer 2

\[\left(2 x-5 y^2\right)^{(10)}= \]\[1024 x^{10}-25600 x^9 y^2+288000 x^8 y^4-1920000 x^7 y^6+8400000 x^6 y^8-25200000 x^5 y^{10}+ \]\[52500000 x^4 y^{12}-75000000 x^3 y^{14}+70312500 x^2 y^{16}-39062500 x y^{18}+9765625 y^{20} \]