А) у^2 + 6у + 9 = y^2 + 2•3•y + 3^2 = (y+3)^2
б) 36х^2 -12ху + у^2 = (6х)^2 - 2•6ху + у^2 =
= (6х-у)^2
в) m^2 + 2mn + n^2 = (m+n)^2
г) a²-2ab+b² = (a-b)^2
д) y²-36 = (y^2 - 6^2) = (y+6)(y-6)
е) x²-0,16y² = x^2 - (0,4y)^2 = (x+0,4y)(x-0,4y)
ё) a^6-25 = (a^3)^2 - 5^2 = (a^3 + 5)(a^3 - 5)
ж) 400-y² = 20^2 - y^2 = (20+y)(20-y)
<span>log4(7-x)^2 + log4(x+9)^2=4+log4(x+9)^2
</span><span>log4(7-x)^2 + log4(x+9)^2=log4 256+log4(x+9)^2
</span>2log4 (7-x) + 2log4 (x+9) = 2log4 16 + 2log4 (x+9) |:2
log4 (7-x)(x+9) = log4 16(x+9)
<span>(7-x)(x+9) = 16(x+9)
</span><span>(7-x)(x+9) - 16(x+9) = 0
</span>(x + 9) (7 - x - 16) = 0
x + 9 = 0 или - 9 - x = 0
x = -9 x = -9
Ответ -9
1)а) х²+4х+1= х²+2х+2х+1=(х+1)²+2х
б) 3b²-12b+11=2b²+b²-6b+9-6b+2=2b²+(b-3) ²+2
<span>в) у</span>²<span>+2у=
у</span>²<span>+2у+1-1= (у+1)</span>²<span>-1</span>
2) а)-b²+6b-8= -(b²-6b+8)= -(b²-4b+2-2b+6)= -( (b<span>-2)</span>²<span>-2</span>b+6)= 2b-6-(b<span>-2)</span><span>²</span>
<span>б)1/4у</span>²<span>-у+2=1/4у</span>²<span>-у+1+1=(1/2у-1) </span>²<span>+1</span>