A number is increased by 5, and then squared.
The expression which correctly represents this quantity is
A) x + 25
B) x2 + 10
C) x2 + 25
D) x2 + 10x + 10
E) x2 + 10x + 25

Respuesta :

Answer:

E) x2 + 10x + 25

Step-by-step explanation:

A number is increased by 5, and then squared is

(x + 5)^2

When taken out of the parenthesis it is:

x2 + 10x + 25 is your answer.

Answer: E) [tex]x^2+10x+25[/tex]

Step-by-step explanation:

Let the number x .

Given statement : A number is increased by 5, and then squared.

Number is increased by 5= x+5

Square of (x+5) is written as

[tex](x+5)^2=x^2+2(x)(5)+25\\\\=x^2+10x+25[/tex]

[Using identity [tex](a+b)^2=a^2+2ab+b^2[/tex]

Hence, the correct expression which represents the given statement is

[tex]x^2+10x+25[/tex]