Question

Which of the following is the difference of two squares?

a) 8x^2 - 16y^2

b) 4g - 16h

c) 100a^4 - 9b^12

d) 25m^2 + 100n^2

Answer 1

The difference of two squares can be written in the form of (a^2 - b^2), where a and b are algebraic expressions.

From the given options, the expression that can be written in the form of (a^2 - b^2) is:

a) 8x^2 - 16y^2

We can write 8x^2 as (2x)^2 and 16y^2 as (4y)^2.

Therefore,

8x^2 - 16y^2 = (2x)^2 - (4y)^2

This is the difference of two squares, where a = 2x and b = 4y.

Therefore, the answer is option a) 8x^2 - 16y^2.

Explanation:

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