What is (2+y)³ written out?

1 answer:

7 0

(2x + y)³
(2x + y)(2x + y)(2x + y)
(2x(2x + y) + y(2x + y))(2x + y)
(2x(2x) + 2x(y) + y(2x) + y(y))(2x + y)
(4x² + 2xy + 2xy + y²)(2x + y)
(4x² + 4xy + y²)(2x + y)
4x²(2x + y) + 4xy(2x + y) + y²(2x + y)
4x²(2x) + 4x²(y) + 4xy(2x) + 4xy(y) + y²(2x) + y²(y)
8x³ + 4x²y + 8x²y + 4xy² + 2xy² + y³
8x³ + 12x²y + 6xy² + y³

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$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16&10 \end{array}\implies \cfrac{x}{16}=\cfrac{100}{10}\implies \cfrac{x}{16}=10\implies x = 160$