Разложить на множители.
1) x-y+√(x-y)
2) 5x-5y-7√(x-y)
3) √(x^2-y^2)+√(x-y)
4) st+t√t+s√s+√(st)
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Разложить на множители.
1) x-y+√(x-y)
2) 5x-5y-7√(x-y)
3) √(x^2-y^2)+√(x-y)
4) st+t√t+s√s+√(st)
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Решение:
1)x-y+√(x-y)=√(x-y)(√(x-y)-1)
2)5x-5y-7√(x-y)=5(x-y)-7√(x-y)=√(x-y)(5√(x-y)-7)
3)√x²-y²)+√(x-y)=√((x-y)*(x+y))+√x-y)=√(x-y)(√(x+y)+1)
4)st+t√t+√s+√st=s(t+s√s)+√t(t+√s)=(t+√s)*(s+√t)