Which term completes the product so that it is the difference of squares?

(-5x-3) (-5x+

-9

-3

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the answer is 3

Step-by-step explanation:

(-5x-3) (-5x+3) = (5x) ^2 - (3) ^2

A difference of squares is the difference of two squared terms.

We have

a^2 - b^2

We can factorize the difference of squared terms like this:

a^2-b^2 = (a+b) (a-b)

We have (-5x-3) (-5x+3)

Lets prove it:

(-5x-3) (-5x+3) = (-5x*-5x) + (-5x*3) + (-3*-5x) + (-3*3)

(-5x-3) (-5x+3) = 25x^2 + (-15x) + (15x) + (-9)

(-5x-3) (-5x+3) = 25x^2-15x+15x-9

(-5x-3) (-5x+3) = 25x^2-9

(-5x-3) (-5x+3) = (5x) ^2 - (3) ^2