tatedason2427 tatedason2427
  • 21-10-2019
  • Mathematics
contestada

Quickly compute the following differences of squares. (a). 64^2 − 14^2 (b). 112^2 − 88^2 (c). 785^2 − 215^2

Respuesta :

aristeus aristeus
  • 22-10-2019

Answer:

(a) 3900

(b) 4800

(c) 570000

Step-by-step explanation:

We have given

(a) [tex]64^2-14^2[/tex]

We know the algebraic equation[tex]a^2-b^2=(a+b)(a-b)[/tex]

So [tex]64^2-14^2=(64+14)(64-14)=3900[/tex]

(b) We know the algebraic equation[tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]112^-88^2=(112+88)(112-88)=4800[/tex]

(c) We know the algebraic equation[tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]785^2-215^2=(785+215)(785-215)=570000[/tex]

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