На фото........................................................................
6x-y=2, -x+y=-1
y=6x-2, y=x-1
6x-2=x-1
6x-x=-1+2
5x=1/:5
x=0,2
y=0,2-1=-0,8
Ответ: (0,2;-0,8)
S(n)=b1*(q^n-1)/(q-1) b1=4 q=2 n=7
S(7)=4*(2^7-1)/(2-1)=4*(128-1)=508
№1
2х² - 20ху + 50у² = 2(х² - 10ху + 25у²) = 2(x - 5y)²
№2
1 )х²у - 36у³ = y(x² - 36y²) = y(x - 6y)(x + 6y)
2) а³ + 8с³ = (a +2c)(a² - 2ac + 4c²)
3) -5m² + 10mn - 5n² = -5 (m² - 2mn + n²) = -5 (m - n)²
№3
1) а^4 - 81 = (a² - 9)(a² + 9) = (a - 3)(a + 3)(a² + 9)
2) 4ас - 28с + 8а - 56 = 4c(a - 7) + 8(a - 7) = (4c + 8)(a - 7) = 4(c + 2)(a - 7)