B^2 - 9y^2 : 4b^2 +12by+9y^21) 5(x+4y)/ 15(x+4y) = 1/3
2) <span>8a^2+40ab : ab+5b^2 = 8a (a + 5b) / b(a+5b) = 8a/b
3) </span><span>8ab : 4a^2 b^2+8ab^3 = 8ab / 4ab^2 (a +2b) = 2/b (a+2b)
4) </span><span>x^2 -9 : 4x-12 = (x-3)(x+3) / 4(x-3) = x+3/4
5) </span><span>3a+15b : a^2 - 25b^2 = 3(a+5b) / (a-5b)(a+5b) = 3/a+5b
6) </span> y^2<span>+4y+4 : y^2 +2y = (y+2)^2 / y(y+2) = y+2/y
7) </span><span>b^2 +10b+25 : b^2 -25 = (b+5)^2 / (b-5)(b+5) = b+5/b-5
</span><span>4b^2 - 9y^2 : 4b^2 +12by+9y^2 = (2b-3y)(2b+3y)/ (2b+3y)^2 = 2b-3y/2b+3y = 2*(-1/4) - 3* (5/6) / 2*(-1/4) - 3*(-5/6) = -0.5 + 2.5 / -0.5 +2.5 = 2/2 = 1</span>
а)(3x+5)+(8x+1)=17 расскрываем скобки
3х+5+8х+1=17 переносим х в одну сторону, числа без х - в другую
3х+8х=17-5-1
11х=11
х=1
б)19-5(3x-1)=9
19-15х+5=9
-15х=-15
х=1
<span>1)(a+2)²-1 = (a+2-1)(a+2+1) = (a+1)(a+3)
2)16-(x+y)² = (4-x-y)(4+x+y)
3)(5y-6)²-49 = (5y-6-7)(5y-6+7) = (5y-13)(5y+1)
4)(m-7)²-64 = (m-7-8)(m-7+8) = (m-15)(m+1)
5)16a²-(4a+6)² = (4a-4a-6)(4a+4a+6) = -6(8a+6)</span>
2
(x²-5)/(11-2x)=4/(2x-11)
x≠5,5
x²-5=-4
x²=1
x=-1
x=1
4
(2-4x)/(x+3)=(x²-19)/(x+3)
x≠-3
2-4x=x²-19
x²+4x-21=0
x1+x2=-4 U x1*x2=-21
x1=-7
x2=3
