ГДЗ по алгебре 7 класс Макарычев ФГОС Контрольные вопросы и задания к параграфу 11

1

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2

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3

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\[25y^{2} + 40y + 16 = (5y + 4)^{2}\]

4

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\[81x^{2} - 18x + 1 = (9x - 1)^{2}\]

5

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\[Формула\ куба\ суммы:\]

\[(a + b)^{3} = a^{3} + 3a^{2}b +\]

\[+ 3ab^{2} + b^{3}.\]

\[Пример:\ \]

\[(a + 2b)^{3} = a^{3} + 6a^{2}b +\]

\[+ 12ab^{2} + 8b^{3}.\]

6

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\[Формула\ куба\ разности:\]

\[(a - b)^{3} = a^{3} - 3a^{2}b +\]

\[+ 3ab^{2} - b^{3}.\]

\[(3x - y)^{3} = 27x^{3} - 27x^{2}y +\]

\[+ 9xy^{2} - y^{3}.\]