Question

sum of squares of two consecutive even numbers translate into algebraic expressions​

Answer 1

Answer:

The two positive, consecutive, even number are 12 and 14.

Step-by-step explanation:

First step is to translate the mathematical statements given.

Since we are looking for a an even number, we can assign "n" as our first even number. Since we are looking for two even numbers that are consecutive, we can assign "n+2" as the second even number.

The square of the sum of two positive, consecutive, even numbers...

Well, I am not sure if I can really help but based on what I have learned, this is the explanation:

Example:

(x-2)squared

it can also be written like this

(x-2) (x-2)

And you can multiply them using your preferred method.

             x-2

 times    

             x-2

            -2x+ 4

xsquared+-2x

=x^2-4x+4

But because we are taught to do the shortcut way, it is explained to do it like this:

(x-2)^2

1.) Square the first term.

2.) Multiply the first term and the second term, double their product after..

3.) Square the second term.

4.) Connect you answers together.(don't forget their signs)

=x^2-4x+4(if I am not mistaken)