navamarisol71 navamarisol71
  • 27-03-2020
  • Mathematics
contestada

factor completely:
4x²-49=

Respuesta :

VectorFundament120
VectorFundament120 VectorFundament120
  • 30-03-2020

[tex]4x^2-49[/tex]

Use the Difference of Two Squares Formula, [tex]x^2-y^2=(x+y)(x-y)[/tex]

If x² = 4x², then x = √4x², x = 2x

If y² = 49, then y = √49, y = 7

We know both x and y, straight to formula.

[tex]x^2-y^2=(x+y)(x-y)\\4x^2-49=(2x+7)(2x-7)[/tex]

Therefore, the factored form of 4x²-49 is (2x+7)(2x-7)

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