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Expand and simplify (x + 11)(x + 11)

User Grokky
by
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1 Answer

10 votes

Answer:

Expand: x² + 11x + 11x + 121

Simplify: x² + 22x + 121

Explanation:

To expand this, you can use the FOIL technique:

First terms

Outer terms

Inner terms

Last terms

(x+11)(x+11)

F - x*x = x²

O - x*11 = 11x

I - 11*x = 11x

L - 11*11 = 121

Put these numbers together (expanded) to get:

x² + 11x + 11x + 121

Put the common terms together (simplify) to get:

x² + 22x + 121

Note:

Not sure if you need this info, but (x + 11)(x + 11) is the same as (x + 11)².

The numbers need to be in the order I put them in because you are supposed to place them in order greatest to least degree.

Hope it helps!

User Smackcrane
by
8.7k points