Expand by binomial theorem? #(3x²-y)5#

1 Answer
Martin C.
Mar 15, 2018

#=243 x^10 - 405 x^8 y + 270 x^6 y^2 - 90 x^4 y^3 + 15 x^2 y^4 - y^5#

Explanation:

#a=3x^2#
#b=-y#
#(a+b)^5=a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5#

#=(3x^2)^5+5(3x^2)^4(-y)+10(3x^2)^3(-y)^2+10(3x^2)^2(-y)^3+5(3x^2)(-y)^4+(-y)^5#
#=243 x^10 - 405 x^8 y + 270 x^6 y^2 - 90 x^4 y^3 + 15 x^2 y^4 - y^5#

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