1) 36x³-144x-36x²+144=36x²(x-1)-144(x-1)=(x-1)(36x²-144)=(x-1)(6x-12)(6x+11)
2) y³+ay²-b²y-b²a=y²(y+a)-b²(y+a)=(y+a)(y²-b²)=(y+a)(y-b)(y+b)
Task/28448691
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x /(x-1)= (x-1+1) /(x-1) = 1 +1/(x-1) ;
(2x - 1)/(x-1) = (2x - 2 +1) / (x-1) = 2 + 1 /(x-1) ;
3^(10-9)-55^(7-6)=3-55=-52
1.8 a) y=![\sqrt{x} -1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-1)
x-1 ≥ 0
x≥1
(3,8+7,15)*0,11= 10.95 * 0.11 = 1.2045
13,2:1,2-4,7= 11 - 4.7 = 6.3
task/29534329
Упростить
а) (2sinx -sin2x) / (cos2x - 1) - ctgx = (sin2x -2sinx) / ( 1 -cos2x) - ctgx =
(2sinxcosx -2sinx) / ( 1 -cos2x) - ctgx =2sinx(cosx -1)/ 2sin²x - ctgx =
(cosx -1) / sinx - ctgx = cosx/ sinx - 1/sinx -ctgx = ctgx -1/sinx -ctgx = - 1/sinx .
б) ( sin(x-2π)*tg( π/2 +x)*ctg(x -3/2π) ) /(tg(180° -x)*cos(360° -x) =
( -sin(2π -x)* (-ctgx)*(-ctg(3/2π -x) ) / (- tgx*cosx) = sinx*(-ctgx)*tgx ) / (- sinx) = 1.
* * * в основном формулы приведения и тригонометрические формулы двойного угла * * *