jakers561 jakers561
  • 26-01-2018
  • Mathematics
contestada

Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.

Respuesta :

lisboa lisboa
  • 22-10-2019

Answer:

[tex] (3x+7)(3x-7)[/tex]

Step-by-step explanation:

Use the difference of squares identity to write this polynomial expression in factored form:  [tex]9x^2-49[/tex]

Difference of square formula is

[tex]a^2-b^2=(a+b)(a-b)[/tex]

9 can be written as 3^2

49 can be written as 7^2

[tex]9x^2-49[/tex]

[tex](3x)^2-7^2[/tex]

The value of 'a' is 3x  and b is 7

[tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex](3x)^2-7^2=(3x+7)(3x-7)[/tex]

[tex] (3x+7)(3x-7)[/tex]

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