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The expression x+8x+10 is modeled below
with aigebra Times

What would need to be added to
complete the square ?


The Expression X8x10 Is Modeled Below With Aigebra Times What Would Need To Be Added To Complete The Square class=

Sagot :

Answer:

  add 6 unit tiles

Step-by-step explanation:

The square is completed when the algebra tile grid pattern is a square. This one will be a square when 6 more unit tiles are added to fill the empty spaces at the bottom right.

We need to add 6 to complete squares.

What must be added to complete the square?

Here we have the expression:

x^2 + 8x + 10

By looking at the image, we can see that we need to add 6 cubes of the ones with the digit 1.

That is equivalent to adding 6 to our expression (and we also subtract 6 so we don't change it) then we have:

x^2 + 8x + 10 + 6 - 6

(x^2 + 8x + 10 + 6) - 6

(x^2 + 8x + 16) - 6

(x^2 + 2*4*x + 4^2) - 6

(x + 4)^2 - 6

So we completed squares, then we conclude that we need to add 6 to complete squares.

If you want to learn more about completing squares, you can read:

https://brainly.com/question/10449635