How do you factor $24s ^ { 2} - 150$ ?

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Answer 1 · 2016-12-20T12:08:54

$6(4s^2 - 25)$

We can rewrite this expression as:

$(color(red)(2) xx 2 xx 2 xx color(red)(3) xx s xx s) - (color(red)(2) xx color(red)(3) xx 5 xx 5)$

We can factor out the common terms of $color(red)(2 xx 3)$

$color(red)(2 x 3)((2 xx 2 xx s xx s) - (5 xx 5))$

Combining the factored terms back together gives:

$6(4s^2 - 25)$

How do you factor 24s ^ { 2} - 15024s ^ { 2} - 150?