1.
а) = у^2-4y+4+1+4y+4y^2=5y^2+5
б) = 49-64x^2
в) = a^3-8
г) = 27a^3+27a^2+9a+1
2.
a) = (6a+1)^2
б) = (10x-7y)(10x+7y)
в) = (5x-2y)*(25x^2+10xy+4y^2)
г) = (y-1)(y+1)(y^2-y+1)
решение разделено по действиям
m²-2m+4 2m²+m (m²-2m+4) *m*(2m+1) m
-------------* ------------ = ------------------------------------------------ = ----------------
4m²-1 m³+8 (2m-1)(2m+1)*(m+2)*(m²-2m+4) (2m-1)(m+2)
------------------------------------------------------------------------------------------------------
m m+2 m m+2
------------------ - ------------- = ------------------ - --------------------- =
(2m-1)(m+2) 2m²- m (2m-1)(m+2) m*(2m-1)
m *m - (m+2)(m+2) m²-(m+2)²
---------------------------------------- = --------------------------- =
(2m-1)*(m+2) *m (2m-1)*(m+2)*m
m²- (m²+2m+4) m²- m²- 2m-4 -2(m+2) -2
--------------------------- = ------------------------- = ------------------------- = ------------
(2m-1)*(m+2)*m (2m-1)*(m+2)*m (2m-1)*(m+2)*m (2m-1)m
------------------------------------------------------------------------------------------------------
-2 4 -2 *m(m+2) -(m+2)
------------- : ------------ = --------------------- = ------------------
(2m-1)m m²+2m (2m-1)m *4 (2m-1)*2
---------------------------------------------------------------------------------------------------
-(m+2) 10m+1 -(m+2) 10m+1
----------------- - --------------- = -------------- + ------------- =
(2m-1)*2 4-8m (2m-1)*2 8m- 4
-(m+2) 10m+1 - 2*(m+2)+10m+1
--------------+ ------------------- = ---------------------------- =
(2m-1)*2 4* (2m-1) 4* (2m-1)
-2m -4+10m+1 8m- 3
----------------------- = ---------------
4* (2m-1) 4* (2m-1)
1)(х+5)·6+(х-3)²=6х+30+х²-6х+9=х²+39.
3)26-а²-(5-а)²=26-а²-25+10а-а²=-2а²+10а+1,
5)0,3+b²-(b-0,5)²=0,3+b²-b²+b-0,25=b+0,05.
2/3sin3x+C
--------------------------------
AC/sin45=AB/sinC
sinC=ABsin45/AC=2sqrt(3)sqrt(2)/2(2*sqrt(2))=sqrt(3)/2
C=60