svetlanaobertaowjsxw svetlanaobertaowjsxw
  • 16-01-2020
  • Mathematics
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Without using Desmos what is the complete factorization of 5x^2-20? Please show work , please help

Without using Desmos what is the complete factorization of 5x220 Please show work please help class=

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cinderofsoulsss
cinderofsoulsss cinderofsoulsss
  • 16-01-2020

Answer:

[tex]5(x+2)(x-2)[/tex]

Step-by-step explanation:

Find the greatest common factor (GCF) of the 2 terms:

GCF is 5.

Factor out the GCF:

[tex]5x^2-20\\5(\frac{5x^2}{5} -\frac{20}{5} )\\5(x^2-4)[/tex]

Rewrite as a difference of squares ([tex]a^2-b^2=(a+b)(a-b)[/tex]):

[tex]5(x^2-2^2)\\5(x+2)(x-2)[/tex]

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