colinscottpizzaman colinscottpizzaman
  • 23-03-2024
  • Mathematics
contestada

write the polynomial as the product of a difference and a sum 1.44-a^2

Respuesta :

TabraizAli
TabraizAli TabraizAli
  • 23-03-2024

Answer:

To express the polynomial \(1.44 - a^2\) as the product of a difference and a sum, we can use the difference of squares formula:

\[ a^2 - b^2 = (a + b)(a - b) \]

In this case, \(1.44\) can be considered as \(a^2\) where \(a = \sqrt{1.44}\) or \(a = 1.2\).

So, we can rewrite \(1.44 - a^2\) as:

\[ 1.44 - a^2 = (a + \sqrt{1.44})(a - \sqrt{1.44}) \]

\[ 1.44 - a^2 = (a + 1.2)(a - 1.2) \]

Therefore, \(1.44 - a^2\) can be expressed as the product of a difference and a sum:

\[ (a + 1.2)(a - 1.2) \]

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