Factor z^3+125y^3

Math
z3+125y3
Rewrite 125y3 as (5y)3.
z3+(5y)3
Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2-ab+b2) where a=z and b=5y.
(z+5y)(z2-z(5y)+(5y)2)
Simplify.
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Rewrite using the commutative property of multiplication.
(z+5y)(z2-1⋅5zy+(5y)2)
Multiply -1 by 5.
(z+5y)(z2-5zy+(5y)2)
Apply the product rule to 5y.
(z+5y)(z2-5zy+52y2)
Raise 5 to the power of 2.
(z+5y)(z2-5zy+25y2)
(z+5y)(z2-5zy+25y2)
Factor z^3+125y^3

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