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

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

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Answer 1 · 2016-12-20T12:08:54

$6 (4 s^{2} - 25)$ $6(4s^2 - 25)$

Explanation:

We can rewrite this expression as:

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

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

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

Combining the factored terms back together gives:

$6 (4 s^{2} - 25)$ $6(4s^2 - 25)$

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

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