footballking428 footballking428
  • 13-05-2021
  • Mathematics
contestada


When factoring the difference of two squares, what will the signs in the parenthesis be

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 18-05-2021

Answer:

The signs will be + and -

Step-by-step explanation:

Required

The signs in the parenthesis of difference of two squares

Let the expression be:

[tex](x^2 - a^2)[/tex]

Expand

[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]

Factorize

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

Factor out x - a

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

See that the sign in front of a is + and - in the parentheses

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