^-знак возведения в степень
1.
1) = 9b^2-25
2) = 64y^2-25x^2
3) = 0,25x^6-0,04y^8
4) = x^14-y^6
5) = y^8n-y^2n
2. 1) -2y^2(3y+1)(1-3y)=-2y^2(1-9y^2)=18y^4-2y^2
2) = (a^10+b^10)(a^10-b^10)=a^20-b^20
3. =0= x^2-4-x^2+6x ---> x=4/6=2/3
4. 1) (3b-4x)(3b+4x)=9b^2-16x^2
2) (2a+7b)(2a-7b)=4a^2-49b^2
![log_{3} x^{2} - log_{3}( \frac{x}{x+6} )= log_{3}27; log_{3}( \frac{ x^{2} }{ \frac{x}{x+6} } )= log_{3} 27; \frac{ x^{2} (x+6)}{x} =27](https://tex.z-dn.net/?f=+log_%7B3%7D+x%5E%7B2%7D+-+log_%7B3%7D%28+%5Cfrac%7Bx%7D%7Bx%2B6%7D+%29%3D+log_%7B3%7D27%3B++log_%7B3%7D%28+%5Cfrac%7B+x%5E%7B2%7D+%7D%7B+%5Cfrac%7Bx%7D%7Bx%2B6%7D+%7D+%29%3D+++++log_%7B3%7D+27%3B++%5Cfrac%7B+x%5E%7B2%7D+%28x%2B6%29%7D%7Bx%7D+%3D27)
x²(x+6)=27x
x(x+6)=27
x²+6x-27=0 x²>0 ⇒ x>0
D=36+108=144=12²
x=(-6+12)/2=3 x=(-6-12)/2<0 не подходит
x=3
2-23/6=12/6-23/6=-11/6=-одна целая 5/6