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Format the following question or task so that it is easier to read. Remove all unnecessary portions of the text.
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[tex]$x^2+\square x^2+36$[/tex]
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Response:
[tex]$x^2 + \square x + 36$[/tex]


Sagot :

Certainly! Let's solve the given expression step-by-step.

1. Identify the components:
The given expression is [tex]\( x^2 + \square x^2 + 36 \)[/tex]. Here, we need to figure out what goes into the box (represented as [tex]\(\square\)[/tex]).

2. Introduce a variable:
We'll represent the boxed value with a variable, say [tex]\(a\)[/tex]. Thus, the expression becomes:
[tex]\[ x^2 + ax^2 + 36 \][/tex]

3. Combine like terms:
Notice that [tex]\( x^2 \)[/tex] terms can be combined. The like terms here are [tex]\( x^2 \)[/tex] and [tex]\( ax^2 \)[/tex]. When we combine these, we get:
[tex]\[ (1 + a)x^2 + 36 \][/tex]

4. Final expression:
So, the simplified expression after introducing the variable [tex]\(a\)[/tex] in place of the box and combining the like terms is:
[tex]\[ x^2 + ax^2 + 36 \][/tex]

Therefore, the expression simplifies to [tex]\(x^2 + ax^2 + 36\)[/tex].