How do you factor $6 x r + 2 x s + 3 y r + y s$ $6xr+2xs+3yr+ys$ ?

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How do you factor $6 x r + 2 x s + 3 y r + y s$ $6xr+2xs+3yr+ys$ ?

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Answer 1 · 2017-04-28T18:28:12

$(3 r + s) (2 x + y)$ $(3r+s)(2x+y)$

Explanation:

$factorise by 'grouping'$ $"factorise by 'grouping' "$

$6 x r + 2 x s + 3 y r + y s$ $color(red)(6xr+2xs)color(magenta)(+3yr+ys)$

$= 2 x (3 r + s) + y (3 r + s)$ $=color(red)(2x)(3r+s)+color(magenta)(y)(3r+s)$

$(3 r + s) is a common factor to both groups$ $(3r+s)" is a common factor to both groups"$

$= (3 r + s) (2 x + y)$ $=(3r+s)(color(red)(2x)+color(magenta)(y))$

$\Rightarrow 6 x r + 2 x s + 3 y r + y s = (3 r + s) (2 x + y)$ $rArr6xr+2xs+3yr+ys=(3r+s)(2x+y)$

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How do you factor $6 x r + 2 x s + 3 y r + y s$ $6xr+2xs+3yr+ys$ ?

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How do you factor 6xr+2xs+3yr+ys6xr+2xs+3yr+ys?

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How do you factor $6 x r + 2 x s + 3 y r + y s$ $6xr+2xs+3yr+ys$ ?