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Vlad1618 [11]
3 years ago
12

What is the factored form of 216p^3+125q^3?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
Notice that 216 is a perfect cube and so is 125.
You have the sum of two cubes which is factorable and follows the pattern:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

216p^3 + 125q^3 =

= (6p)^3 + (5q)^3

= (6p + 5q)(36p^2 - 30pq + 25q^2)
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