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What is the factored form of 25a2b6−36c

Question

What is the factored form of 25a2b6−36c

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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).

This problem has been solved

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