Respuesta :

Answer:

3

Step-by-step explanation:

Note the general factorisation of a difference of 2 squares is

a² - b² = (a + b)(a + b)

Given

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

Then ? = 3 so that the complete factors are

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

The term which completes the product so that it is difference of two squares is 3

Difference of two squares

a² – b² = (a + b)(a – b)

How to determine the missing term

Let the missing term be b

  • (−5x − 3)(−5x +
  • Value of b =?

Since the expression is difference of two squares, it means the bracket must contain the same entity but with a different sign.

a² – b² = (a + b)(a – b)

(−5x − 3)(−5x + b) = (a + b)(a – b)

Comparing the above, we can see that b = 3

Therefore, the missing term is 3 as shown below:

(−5x − 3)(−5x + b) = (−5x − 3)(−5x + 3)

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