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# help

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The expression $$y^2+10y+33$$ can be written as a combination of a square of a binomial and an integer. Find the integer.

Jul 15, 2019

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The expression $$y^2+10y+33$$ can be written as a combination of a square of a binomial and an integer.
Find the integer.

$$\begin{array}{|rcll|} \hline && y^2+10y+33 \\ &=& (y+5)^2 -25 + 33 \\ &=& (y+5)^2 +8 \\ \hline \end{array}$$

Jul 15, 2019