Ctga=cosa/sina
cosa/sina - cosa/1+sina = cosa/sina(1+sina) = ctga/ 1+sina
A) 1/3*3*x²+2x+2=x²+2x+2
б)=
![2*(-3)*x^{-4}-3/2* x^{ \frac{3}{2}-1 } =-6*x ^{-4} -1.5*x^{ \frac{1}{2} } =- \frac{6}{x ^{4} } -1.5 \sqrt{x}](https://tex.z-dn.net/?f=2%2A%28-3%29%2Ax%5E%7B-4%7D-3%2F2%2A%20x%5E%7B%20%5Cfrac%7B3%7D%7B2%7D-1%20%7D%20%3D-6%2Ax%20%5E%7B-4%7D%20-1.5%2Ax%5E%7B%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D-%20%5Cfrac%7B6%7D%7Bx%20%5E%7B4%7D%20%7D%20-1.5%20%5Csqrt%7Bx%7D%20)
в) =4cosx
q'(-2π/3)=4*cos(-2π/3)=-4*1/2=-2
г) =(-3*(х+2)-(2-3х)*1)/(х+2)²=(-3х-6-2+3х)/(х+2)²=-8/(х+2)²
h'(-1)=-8/(-1+2)²=-8
A)
10²a^4 -1/3²b² = (10a² -1/3b) *(10a² +1/3b)
b) 9x² -(x -1)² = (3x -(x-1)(3x +(x-1)=(3x-x+1)(3x+x-1) = (2x+1)(4x -1)
в)
x^3+y^6 =(x+y²)(x²-xy²+y^4)
c²+4bc+4b² =c² +2*c*2b + 2²b² =(c +2b)²
смотри фоточку там решение!!