Use factoring to write an expression that is equivalent to 25b^16-64c^2

1 answer:

4 0

We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)

To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c

Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)

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How to multiply numbers with exponets and different bases

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