(2x+3)(5x-4)=10x^2+15x-8x-12=10x^2+7x-12
(3a-2)(2a-1)=6a^2-4a-3a+2=6a^2-7a+2
(5a-3b)(4a-b)=20a^2-12ab-5ab+3b^2=20a^2-17ab+3b^2
(3x+2y)(x-y)=3x^2+2xy-3xy-2y^2=3x^2-xy-2y^2
(5b-4c)(2b-2c)=10b^2-8bc-10bc+8c^2=10b^2-18bc+8c^2
(p-3q)(8p+5q)=8p^2-24pq+5pq-15q^2=8p^2-19pq-15q^2
Х²+4х+4=х²-8х+16
12х=12
х=1
14a-12b-a-b=14a-a-12b-b=13a-13b=13(a-b)
a=2/7
b=-5/7
![13( \frac{2}{7}+ \frac{5}{7} )=13* \frac{7}{7}=13*1=13](https://tex.z-dn.net/?f=13%28+%5Cfrac%7B2%7D%7B7%7D%2B+%5Cfrac%7B5%7D%7B7%7D++%29%3D13%2A+%5Cfrac%7B7%7D%7B7%7D%3D13%2A1%3D13+)
Б) (√2х²-4х+5)²=(√3х²-х+1)²
2х²-4х+5=3х²-х+1
2х²-4х+5-3х²+х-1=0
-х²-3х+4=0 /-1
х²+3х-4
х=-4
х=1
г) (√х²-3х-3)²=(√2х²-2х-9)²
х²-3х-3=2х²-2х-9
х²-3х-3-2х²+2х²+9=0
-х²-х+6=0 /-1
х²+х-6=0
х=-3
х=2
б) (√3х+2)²=(х√2)²
3х+2=х²*2
3х+2-2х²=0
Д=3²-4*(-2)*2=25
х=2
х=-0,5
г) (√11х+7)²=(3х√2)²
11х+7=9х²*2
11х+7-18х²=0
Д=11²-4*(-18)*7=625
х=1
х=-14/36
б) (√3х+7)²=2х+3
3х+7-2х-3=0
х+4=0
х=-4
г) (√2х-1)²=2х-1
2х-1-2х+1=0
0=0
б) (√3х²-4х+1)²=х-1
3х²-4х+1-х+1=0
3х²-5х+2=0
Д=(-5)²-4*3*2=1
х=2/3
х=1
г) (√3х²+х+5)²=2х+1
3х²+х+5-2х-1=0
3х²-х+4=0
Д=(-1)²-4*3*4=1-48=-47
нет корней