How do you factor completely $2 m y + 7 x + 7 m + 2 x y$ $2my+7x+7m+2xy$ ?

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How do you factor completely $2 m y + 7 x + 7 m + 2 x y$ $2my+7x+7m+2xy$ ?

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Answer 1 · 2018-06-20T08:08:58

$(m + x) (2 y + 7)$ $(m+x)(2y+7)$

Explanation:

$rearrange the terms as$ $"rearrange the terms as"$

$2 m y + 2 x y + 7 x + 7 m \leftarrow factor by grouping$ $2my+2xy+7x+7mlarrcolor(blue)"factor by grouping"$

$= 2 y (m + x) + 7 (m + x)$ $=color(red)(2y)(m+x)color(red)(+7)(m+x)$

$take out the common factor (m + x)$ $"take out the "color(blue)"common factor "(m+x)$

$= (m + x) (2 y + 7)$ $=(m+x)(color(red)(2y+7))$

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How do you factor completely $2 m y + 7 x + 7 m + 2 x y$ $2my+7x+7m+2xy$ ?

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How do you factor completely 2my+7x+7m+2xy2my+7x+7m+2xy?

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How do you factor completely $2 m y + 7 x + 7 m + 2 x y$ $2my+7x+7m+2xy$ ?