terrence50
terrence50 terrence50
  • 18-12-2020
  • Mathematics
contestada

Factor completely x^2 - 81

Respuesta :

bsnanamamsm bsnanamamsm
  • 18-12-2020
Use the sum-product pattern

2
−
8
1
x
2
−
81
x2−81

2
+
9

−
9

−
8
1

Answer Link
VectorFundament120
VectorFundament120 VectorFundament120
  • 18-12-2020

Factor [tex]x^2-81[/tex] by using the difference of two squares.

[tex]x^2-y^2=(x+y)(x-y)[/tex]

Our x is x

Our y is 9 (As y² = 81, therefore a single y would be 9)

[tex](x+9)(x-9)[/tex]

Thus, the final answer is (x+9)(x-9)

Answer Link

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