M⁸ - 6m⁴ n⁵ + 9n¹⁰ = (m⁴)² - 6 m⁴n⁵ + (3n⁵)² = (m⁴ - 3n⁵)²
36x¹² + y⁶ + 12x⁶y³ = (6x⁶)² + 12x⁶y³ + (y³)² = (6x⁶ + y³)²
![\frac{1}{225} a^{6}-2 a^{3} b^{2}+225 b^{4} =( \frac{1}{15} a^{3}) ^{2}-2 a^{3} b^{2}+(15 b^{2}) ^{2}=( \frac{1}{15} a^{3} -15 b^{2}) ^{2}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7B225%7D++a%5E%7B6%7D-2+a%5E%7B3%7D+b%5E%7B2%7D%2B225+b%5E%7B4%7D+%3D%28+%5Cfrac%7B1%7D%7B15%7D+a%5E%7B3%7D%29+%5E%7B2%7D-2+a%5E%7B3%7D+b%5E%7B2%7D%2B%2815+b%5E%7B2%7D%29+%5E%7B2%7D%3D%28+%5Cfrac%7B1%7D%7B15%7D++a%5E%7B3%7D+-15+b%5E%7B2%7D%29+%5E%7B2%7D++++++++++++)
1 7/9 - 4/9=1 3/9
1/4*1 3/9=1/4*12/9=3/9=1/3
4 2/3+1/3=5
6^(2log₆ 5) = 6^(log₆ 5²)= 5² = 25
если (6^(2log₆ 5))² = (6^(log₆ 5²))²= (5²)² = 25² = 625
log(a) b^k = k* log(a) b
a^(log(a) b)= b