What is the factors for $14 x^{2} y + 4 x y^{2} + 2 x y$ $14x^2 y+ 4xy^2 +2xy$ ?

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What is the factors for $14 x^{2} y + 4 x y^{2} + 2 x y$ $14x^2 y+ 4xy^2 +2xy$ ?

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Answer 1 · 2015-05-14T17:35:04

You must check what elements you have in common for all these three factors. Let's just expand them a little:

$7 \cdot 2 \cdot x \cdot x \cdot y + 2 \cdot 2 \cdot x \cdot y \cdot y + 2 \cdot x \cdot y$ $7*color(green)(2)*color(blue)(x)*x*color(red)(y) + color(green)(2)*2*color(blue)(x)*color(red)(y)*y + color(green)(2)*color(blue)(x)*color(red)(y)$

Now, we can see that these elements ( $2 x y$ $2xy$ ) are multiplying all the three factors, as follows:

$2 x y (7 x + 2 y + 1)$ $color(green)(2)color(blue)(x)color(red)(y)(7x + 2y + 1)$

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What is the factors for $14 x^{2} y + 4 x y^{2} + 2 x y$ $14x^2 y+ 4xy^2 +2xy$ ?

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What is the factors for 14x^2 y+ 4xy^2 +2xy14x2y+4xy2+2xy14x^2 y+ 4xy^2 +2xy?

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What is the factors for $14 x^{2} y + 4 x y^{2} + 2 x y$ $14x^2 y+ 4xy^2 +2xy$ ?