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Which expression is a difference of squares?

A). 16h^2-21t^10

B). 9m^2-49n^6

C). 32a^2-81n^2

D). 100x^2-10y^4

Which expression is a difference of squares? A). 16h^2-21t^10 B). 9m^2-49n^6 C). 32a-example-1

1 Answer

3 votes

Answer:


9m^4 - 49n^6

Explanation:

Hello!

For an equation to be a Difference of Squares, the coefficient of the variables has to be Perfect Squares (product of a number squared) and the operation has to be a subtraction between the two terms.

The only option that meets the requirements is
9m^4 - 49n^6, as 9 and 49 are perfect squares.

In Option 1, 21 is not a perfect square.

In Option 3, 32 is not a perfect square.

In Option 4, 10 is not a perfect square.

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