Sure! Let's simplify the given expression step by step.
The given expression is:
[tex]\[ 6m + 3x^2 - 68 \][/tex]
This expression is a linear combination of terms involving the variables [tex]\( m \)[/tex] and [tex]\( x \)[/tex]. Each term in the expression represents a different mathematical operation or combination of factors. Let's break it down:
1. The first term is [tex]\( 6m \)[/tex], which means 6 times the variable [tex]\( m \)[/tex].
2. The second term is [tex]\( 3x^2 \)[/tex], which means 3 times the square of the variable [tex]\( x \)[/tex].
3. The third term is the constant [tex]\(-68\)[/tex].
To verify if the expression can be simplified further, we should check for like terms (terms that involve the same variable raised to the same power) and combine them if possible. In our case:
- The term [tex]\( 6m \)[/tex] involves the variable [tex]\( m \)[/tex].
- The term [tex]\( 3x^2 \)[/tex] involves the variable [tex]\( x \)[/tex] raised to the power of 2.
- The term [tex]\(-68\)[/tex] is a constant.
Since none of these terms are like terms (they involve different variables or different powers of the same variable), we cannot combine them further.
Thus, the simplified form of the given expression is:
[tex]\[ 6m + 3x^2 - 68 \][/tex]
This is already the simplest form since there are no like terms to combine.
