Factor 216t^3-125

Math
216t3-125
Rewrite 216t3 as (6t)3.
(6t)3-125
Rewrite 125 as 53.
(6t)3-53
Since both terms are perfect cubes, factor using the difference of cubes formula, a3-b3=(a-b)(a2+ab+b2) where a=6t and b=5.
(6t-5)((6t)2+6t⋅5+52)
Simplify.
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Apply the product rule to 6t.
(6t-5)(62t2+6t⋅5+52)
Raise 6 to the power of 2.
(6t-5)(36t2+6t⋅5+52)
Multiply 5 by 6.
(6t-5)(36t2+30t+52)
Raise 5 to the power of 2.
(6t-5)(36t2+30t+25)
(6t-5)(36t2+30t+25)
Factor 216t^3-125

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