ehaus1220 ehaus1220
  • 02-05-2019
  • Mathematics
contestada

what is the factorization of the expression below 16x^2-25y2

Respuesta :

carlosego
carlosego carlosego
  • 02-05-2019

For this case we must factor the following expression:

[tex]16x ^ 2-25y ^ 2[/tex]

By definition, the formula of square difference states that:

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

In this case:

[tex]a = 4x\\b = 5y[/tex]

Then, we can factor the expression as:

[tex](4x + 5y) (4x-5y)[/tex]

Answer:

[tex](4x + 5y) (4x-5y)[/tex]

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