Shae1967
contestada

Which expression is equivalent to the binomial shown below?

4x^2+9

A
(4x+9i)(x−1i)

B
(2x+3)(2x+3)

C
(2x+3i)(2x−3i)

D
(4x+9)(x+1)

Respuesta :

sqdancefan

Answer:

  C.  (2x+3i)(2x−3i)

Step-by-step explanation:

The factoring of the difference of squares is ...

  a^2 - b^2 = (a + b)(a - b)

You have the difference of the squares ...

  4x^2 - (-9)

  = (2x)^2 - (3i)^2

so the factoring is ...

  (2x +3i)(2x -3i) . . . . . . matches choice C

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