5t + 6(1 - t)(1 + t) = 5t + 6 - 6t² = (3 - 2t)(3t + 2).
3
4^√x-9*2^√x +8=0
2^x=a
a²-9a+8=0
a1+a2=9 U a1*a2=8
a1=1⇒2^√x=1⇒√x=0⇒x=0
a2=8⇒2^√x=8⇒√x=3⇒x=9
4
2^(x²-8x+19)>16
x²-8x+19>4
x²-8x+15>0
x1+x2=8 U x1*x2=15⇒x1=3 U x2=5
+ _ +
-------------(3)----------------------(5)-------------------
x∈(-∞;3) U (5;∞)
<span>3a+3b= 3(a+b)
m^2-m^4=m^2(1-m^2) = m^2(1-m)(1+m)
2x^2-8x^5=2x^2(1-4x^3)
81-18p+p^2=(p-9)^2=(p-9)(p-9)</span>
4x2-2x+2x-1= 4x2(квадрат) - 1