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What is the factored form of 25a2b6−36

Question

What is the factored form of 25a2b6−36

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Solution

The expression you've given is 25a^2b^6 - 36. To factor this, we first recognize it as a difference of squares. The difference of squares formula is a^2 - b^2 = (a - b)(a + b).

Step 1: Identify a^2 and b^2 in the expression. In this case, a^2 is 25a^2b^6 and b^2 is 36.

Step 2: Take the square root of a^2 and b^2. The square root of 25a^2b^6 is 5ab^3 and the square root of 36 is 6.

Step 3: Substitute these values into the difference of squares formula. This gives us (5ab^3 - 6)(5ab^3 + 6) as the factored form of the expression.

This problem has been solved

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