Find the coefficient of x^4 and x^5 in the expansion of (4x - 2x^2)^6
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The formula for (a - b)^6 is
(a-b)^6 = a^6 - 6a^5b + 15a^4b^2- 20a^3b^3 + 15a^2b^4 - 6ab^5 + b^6
(4x - 2x^2)^6
= (4x)^6 - 6(4x)^5(2x^2) + 15(4x)^4(2x^2)^2 - 20(4x)^3 (2x^2)^3 + 15(4x)^2 (2x^2)^4 - 6(4x)(2x^2)^5 + (2x^2)^6
64x^12 - 768x^11 + 3840x^10 - 10240x^9 + 15360x^8 - 12288x^7 + 4096x^6
There are no coefficients for x^4 and x^5
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