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Which term completes the product so that it is the difference of squares? (-5x-3X-5x

a.-9
b. -3
c. 3
d. 9​

User Aert
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1 Answer

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Final answer:

The term that completes the product as the difference of squares is 9.

Step-by-step explanation:

The term that completes the product as the difference of squares is 9.

When we have an expression in the form a2 - b2, it can be factored into (a + b)(a - b).

In this case, we have -5x - 3x - 5x, which can be written as (-5x)(-1) + (-3x)(1) - 5x.

Factoring it further, we get ((-5x + 3x)(-1 + 1) - 5x), which simplifies to (-2x)(0) - 5x.

The product is then -2x - 5x = -7x.

Therefore, the correct answer is 9.

User Infinite
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