Предмет: Алгебра, автор: Denis1600

подайте многочлен 27х³+108х²+144х+64 у вигляді степеня

Ответы

Автор ответа: filuksistersp735lh

0

Ответ:

${27x}^{3} + 108 {x}^{2} + 144x + 64$

використаємо формулу

$a^{3} + 3a ^{2}b + 3ab^{2} + b^{3} = (a + b) ^{3}$

перепишемо вираз

$(3x {)}^{3} + 3 \times ( {3x})^{2} \times 4 + 3 \times 3x \times {4}^{2} + {4}^{3} = (3x + 4) ^{3}$

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