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How do you simplify $12 s - 4 t + 7 t - 3 s$ $12s - 4t + 7t - 3s$ ?

1 Answer

Jul 8, 2015

$12 s - 4 t + 7 t - 3 s = 9 s + 3 t$ $12s-4t+7t-3s = 9s +3t$
or $XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $= 3 (3 s + t)$ $=3(3s+t)$

Explanation:

$12 s - 4 t + 7 t - 3 s$ $12s-4t+7t-3s$
can be regrouped as
$XXXX$ $color(white)("XXXX")$ $(12 s - 3 s) + (7 t - 4 t)$ $(12s-3s) +(7t-4t)$

$XXXX$ $color(white)("XXXX")$ $= (12 - 3) s + (7 - 4) t$ $=(12-3)s +(7-4)t$
$XXXX$ $color(white)("XXXX")$ $= 9 s + 3 t$ $=9s +3t$

or, extracting a common factor of 3
$XXXX$ $color(white)("XXXX")$ $= 3 (3 s + t)$ $=3(3s+t)$

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