smy163 smy163
  • 08-05-2019
  • Mathematics
contestada

Can (5z+3)(-5z-3) result in a difference of squares

Respuesta :

aharris84565 aharris84565
  • 08-05-2019

Answer:

no, it cannot

Step-by-step explanation:

a difference of square is: a² - b² = (a - b)(a + b)

looking at the expression (5z+3)(-5z-3), we see that it does not fit the criteria of the breakdown of a perfect square, as (-5z-3) has a negative a term (-5z)

if we FOILed (5z+3)(-5z-3) out, we would get:

-25z² - 30z - 9, which is not a difference of squares

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