24а⁵у⁴ / (2а²у)³ = 24а⁵у⁴ / 2³а²*³у¹*³ = 24а⁵у⁴ / 8а⁶у³ = 3у/а
4рх+3ру-4qx-3qy = p(4x+3y) -q(4x+3y) =(4x+3y)(p-q)
[ (9a²+b²)/3 + 2ab] : (3а+b)/6 =
= [ (3²a²+b²+ 3*2ab) / 3 ] * 6/(3a+b) =
= (3a+b)²/ 3 * 6/(3a+b)=
= 2(3a+b) =6a+2b
(t+2)² - (4t+2) = t²+2*2t +2² - 4t -2 =
= t² +4t +4 -4t -2 = t²+2
при t= 3√5
(3√5)² +2 = 9*5 +2 = 45+2=47
15x⁴b³ / 5(xb²)⁴ = 3x⁴b³ / x⁴b⁸ = 3/b⁵
2ac+2ad -5bc-5bd = 2a*(c+d) -5b(c+d)= (2a-5b)(c+d)
25/ (c-5d) * [ (c²+ 25d²)/5 - 2cd]=
= 25/(c-5d) * [ (c²+5²d² - 5*2cd) /5 ]=
= 25 / (c-5d) * [(c²-10cd +5²d²) /5 ]=
= (25*(c-5d)² ) / (5(c-5d) ) =
= 5*(c-5d) = 5c -25d