а) а+2√а = √а(√а+2)
б) √6-√18 = √6(1-√3)
в) х²-15 = (х-√15)(х+√15)
г) 4-4√х+х = (2-√х)²
д) 3х+6√(ху)+√х+2√у = (3х+√х) + (6√(ху)+2√у) =
√х(3√х+1) + 2√у(3√х+1) = (3√х+1)(√х+2√у)
c)
d)
e)
а) а+2√а = √а(√а+2)
б) √6-√18 = √6(1-√3)
в) х²-15 = (х-√15)(х+√15)
г) 4-4√х+х = (2-√х)²
д) 3х+6√(ху)+√х+2√у = (3х+√х) + (6√(ху)+2√у) =
√х(3√х+1) + 2√у(3√х+1) = (3√х+1)(√х+2√у)
c)
d)
e)