<span>7!=1*2*3*4*5*6*7=</span>5040
(9²)³*(2⁷)²*3² ((3²)²)³*(2⁷)*3² 3²*²*³⁺² *2⁷*² 3 ¹⁴ *2¹⁴ 6¹⁴
------------------- = ---------------------- = ------------------ = ------------- = -------- = 6⁴
(3⁵)²*2*8³ (3⁵)²*2*(2³)³ 3⁵*² *2³*³⁺¹ 3¹⁰ *2¹⁰ 6¹⁰
1
x²-5x-24=0
x1+x2=5 U x1*x2=-24⇒x1=-3 U x2=8
x²-6x-27=0
x1+x2=6 U x1*x2=-27⇒x1=-3 U x2=9
(x²-5x-24)/(x²-6x-27)=(x+3)(x-8)/(x+3)(x-9)=(x-8)/(x-9)
2
(a²-6)/(a²-2√6a+6)=(a-√6)(a+√6)/(a-√6)²=(a+√6)/(a-√6)