Rakeem458
Rakeem458 Rakeem458
  • 11-03-2019
  • Mathematics
contestada

Factor the expression. c2 + 10c + 25 A. (c + 5)2 B. (c – 5)2 C. (c + 5)(c – 5)

Respuesta :

gmany
gmany gmany
  • 11-03-2019

Answer:

[tex]\large\boxed{c^2+10c+25=(c+5)^2}[/tex]

Step-by-step explanation:

[tex]METHOD\ 1:\\\\c^2+10c+25=c^2+5c+5c+25=c(c+5)+5(c+5)=(c+5)(c+5)\\\\\boxed{c^2+10c+25=(c+5)^2}\\\\METHOD\ 2:\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\c^2+10c+25=c^2+2(c)(5)+5^2\\\\\boxed{c^2+10c+25=(c+5)^2}[/tex]

Answer Link
yhixd
yhixd yhixd
  • 19-04-2022

Answer:

(c + 5)2

Step-by-step explanation:

c2 + 10c + 25

= c • c + 10c + 5 • 5

= c • c + 2(c • 5) + 5 • 5

= (c + 5)2

Answer Link

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