(m+n)-(m-n)=2mn
m+n-m+n=2mn
(m+n)(n-m)=2nm
nm в квадрате=2nm
2nm=2nm
8x³+0,064y³=(2x)³+(0,4y)³=(2x+0,4y)*((2x)²-2x*0,4y+(0,4y)²)=
=(2x+0,4y)*(4x²-0,8xy+0,16y²)=2*(x+0,2y)*4*(x²-0,2xy+0,4y²)=
=8*(x+0,2y)*(x²-0,2xy+0,4y²)
<span>ОДЗ х-4≠0 х≠4
потом берешь таблицу
х 0 2 -2 4 -4
у 0 2 -2 8 -8
(на рисунке график, точку (4;8) выкалываешь, т.к. ОДЗ)
у=m не имеет с графиком ни одной общей точки при m=8
усе)
поменяла рисунок, а то плохо видно</span>
B6 = b1*q^5 = 2*(-3)^5= 2*(-243)= - 486
y² - 9y + 20 = (y - 5)(y - 4)
p³ - 7p² - 21p + 27 = (p³ + 27) - (7p² + 21p) = (p + 3)(p² - 3p + 9) - 7p(p + 3) =
= (p + 3)(p² - 3p + 9 - 7p) = (p + 3)(p² - 10p + 9) = (p + 3)(p - 1)(p - 9)
9x² + 9ax² - y² + ay² + 6axy = (9x² - y²) + (9ax² + ay² + 6axy) =
= (3x + y)(3x - y) + a(9x² + 6xy + y²) = (3x + y)(3x - y) + a(3x + y)² =
= (3x + y)(3x - y + 3ax + ay)
![\frac{25y^{2}-20y-9z^{2}+4}{25y^{2} -30yz+9z^{2} -4}=\frac{(25y^{2}-20y+4)-9z^{2} }{(25y^{2}-30yz+9z^{2})-4}=\frac{(5y-2)^{2}-9z^{2}}{(5y-3z)^{2}-4 }=\frac{(5y-2-3z)(5y-2+3z)}{(5y-3z-2)(5y-3z+2)}=\frac{5y+3z-2}{5y-3z+2}](https://tex.z-dn.net/?f=%5Cfrac%7B25y%5E%7B2%7D-20y-9z%5E%7B2%7D%2B4%7D%7B25y%5E%7B2%7D%20-30yz%2B9z%5E%7B2%7D%20-4%7D%3D%5Cfrac%7B%2825y%5E%7B2%7D-20y%2B4%29-9z%5E%7B2%7D%20%20%7D%7B%2825y%5E%7B2%7D-30yz%2B9z%5E%7B2%7D%29-4%7D%3D%5Cfrac%7B%285y-2%29%5E%7B2%7D-9z%5E%7B2%7D%7D%7B%285y-3z%29%5E%7B2%7D-4%20%7D%3D%5Cfrac%7B%285y-2-3z%29%285y-2%2B3z%29%7D%7B%285y-3z-2%29%285y-3z%2B2%29%7D%3D%5Cfrac%7B5y%2B3z-2%7D%7B5y-3z%2B2%7D)
![\frac{27-15a+5a^{2}-a^{3}}{3a+ab-3b-a^{2}}=\frac{(27-a^{3})+(5a^{2}-15a)}{(3a-3b)+(ab-a^{2})}=\frac{(3-a)(9+3a+a^{2})+5a(a-3) }{3(a-b)+a(b-a)}=\frac{(3-a)(9+3a+a^{2})-5a(3-a) }{3(a-b)-a(a-b)}=\frac{(3-a)(9+3a+a^{2}-5a)}{(a-b)(3-a)}=\frac{a^{2}-2a+9}{a-b}](https://tex.z-dn.net/?f=%5Cfrac%7B27-15a%2B5a%5E%7B2%7D-a%5E%7B3%7D%7D%7B3a%2Bab-3b-a%5E%7B2%7D%7D%3D%5Cfrac%7B%2827-a%5E%7B3%7D%29%2B%285a%5E%7B2%7D-15a%29%7D%7B%283a-3b%29%2B%28ab-a%5E%7B2%7D%29%7D%3D%5Cfrac%7B%283-a%29%289%2B3a%2Ba%5E%7B2%7D%29%2B5a%28a-3%29%20%7D%7B3%28a-b%29%2Ba%28b-a%29%7D%3D%5Cfrac%7B%283-a%29%289%2B3a%2Ba%5E%7B2%7D%29-5a%283-a%29%20%7D%7B3%28a-b%29-a%28a-b%29%7D%3D%5Cfrac%7B%283-a%29%289%2B3a%2Ba%5E%7B2%7D-5a%29%7D%7B%28a-b%29%283-a%29%7D%3D%5Cfrac%7Ba%5E%7B2%7D-2a%2B9%7D%7Ba-b%7D)