Question

Which shows a difference of squares?

Answer 1

Answer:

The equations shows a difference of squares are:

10y²- 4x²   $   6y²- x²

Step-by-step explanation:

the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²

We will check the options to find which shows a difference of squares.

1) 10y²- 4x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√10 y + 2x )( √10 y - 2x)

2) 6y²- x²

The expression is similar to the general form, so the equation represents a difference of squares.

It can be factored as (√6y + x )( √6y - x)

3) 8x²−40x+25

The expression is not similar to the general form, so the equation does not represent a difference of squares.

4) 64x²-48x+9

The expression is not similar to the general form, so the equation does not represent a difference of squares.