What is the factored form of 25a2b6−36c
Question
What is the factored form of 25a2b6−36c
Solution
The given expression is 25a^2b^6 - 36c.
To factorize this expression, we first look for any common factors. In this case, there are no common factors.
Next, we look for any special factoring patterns. The given expression is a difference of two squares, which can be factored as follows:
A difference of squares is an expression of the form a^2 - b^2, which can be factored as (a - b)(a + b).
In this case, we can rewrite the given expression as (5ab^3)^2 - (6c)^2.
Therefore, the factored form of the expression is (5ab^3 - 6c)(5ab^3 + 6c).
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