Предмет: Алгебра, автор: nuraiabenova067

(√m + √5)² - (m+5) пж​

Ответы

Автор ответа: сок111213
1

По формуле квадрата суммы:

(x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2} \\ ( \sqrt{m} + \sqrt{5} ) {}^{2} = ( \sqrt{m} ) {}^{2} + 2 \sqrt{m} \sqrt{5} + ( \sqrt{5} ) {}^{2} = \\ = m + 2 \sqrt{5m} + 5

( \sqrt{m} + \sqrt{5} ) {}^{2} -( m + 5) = \\ = m + 2 \sqrt{5m} + 5 - m - 5 = 2 \sqrt{5m}

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