(72a^4*(-5b^4))/(25b^5*27a^5)
сокращаем
(8*(-1))/(5b*3a)
-8/15ab
1) sin^4α+cos²α+sin²αcos²α=sin^4α+sin²αcos²α+cos²α=sin²α(sin²α+cos²α)+cos²α=sin²α+cos²α=1;
2) sin^4α-cos^4α-sin²α+cos²α=(sin²α-cos²α)(sin²α+cos²α)-sin²α+cos²α=sin²α-cos²α-sin²α+cos²α=0;
3) cos²α/(1-sin²α)=cos²α/cos²α=1;
4) (1-2sin²α)/(2cos²α-1)=(sin²α+cos²α-2sin²α)/(2cos²α-sin²α-cos²α)=(cos²α-sin²α)/(cos²α-sin²α)=1.
0,3а²bab⁴a²(-4) =0,3 *(-4)а²⁺¹⁺²b¹⁺⁴ = -1,2а⁵b⁵ = -1,2(ab)⁵