РЕШИТЬ УРАВНЕНИЕ С ПОМОЩЬЮ ФОРМУЛ СОКРАЩЕННОГО УМНОЖЕНИЯ. Created by nikatsibuliaeva. algebra-ru

РЕШИТЬ УРАВНЕНИЕ С ПОМОЩЬЮ ФОРМУЛ СОКРАЩЕННОГО УМНОЖЕНИЯ...

sedinalana

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1
3(x²-2xy+y²)/[6(x-y)(x+y)]=(x-y)²/[2(x-y)(x+y)]=(x-y)/[2(x+y)]
2
(m+3n)²/[4m(m+3n)]=(m+3n)/4m

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NNNLLL54

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$\frac{3x^2-6xy+3y^2}{6x^2-6y^2} = \frac{3(x^2-2xy+y^2)}{6(x^2-y^2)} =\frac{3\cdot (x-y)^2}{6(x-y)(x+y)} = \frac{x-y}{2\cdot (x+y)} \\\\\\ \frac{m^2+6mn+9n^2}{4m^2+12mn} = \frac{(m+3n)^2}{4m(m+3n)} = \frac{m+3n}{4m}$

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