How do you factor and simplify $1000-cos^3u$ ?

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Answer 1 · 2017-03-30T17:38:14

see below

Use the Difference of Two cubes Formula. That is,
$color(red)(x^3-y^3=(x-y)(x^2+xy+y^2)$

Hence,
$1000-cos^3u=color(blue)(10^3-(cosu)^3$

$=color(blue)((10-cosu)(10^2+10cosu+(cosu)^2)$

$=color(blue)((10-cosu)(100+10cosu+cos^2u)$

How do you factor and simplify 1000-cos^3u1000-cos^3u?