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Sagot :
Certainly! Let's analyze the given expression: [tex]\(\left(2a + 3b^2\right)\)[/tex].
### Step-by-Step Explanation
1. Identify the Terms:
The expression [tex]\(\left(2a + 3b^2\right)\)[/tex] consists of two terms:
- The first term is [tex]\(2a\)[/tex], which is a linear term involving the variable [tex]\(a\)[/tex].
- The second term is [tex]\(3b^2\)[/tex], which is a quadratic term involving the variable [tex]\(b\)[/tex].
2. Combining the Terms:
Since there are no like terms to combine (i.e., there are no other terms with [tex]\(a\)[/tex] or [tex]\(b^2\)[/tex] separately that can be combined through addition or subtraction), the expression remains as it is.
3. Rewriting the Expression:
The simplest form of the expression, since it cannot be further simplified or expanded through any standard algebraic operations, is [tex]\(\left(2a + 3b^2\right)\)[/tex].
Thus, the fully simplified form of the given expression is:
[tex]\[ 2a + 3b^2 \][/tex]
This is the final solution.
### Step-by-Step Explanation
1. Identify the Terms:
The expression [tex]\(\left(2a + 3b^2\right)\)[/tex] consists of two terms:
- The first term is [tex]\(2a\)[/tex], which is a linear term involving the variable [tex]\(a\)[/tex].
- The second term is [tex]\(3b^2\)[/tex], which is a quadratic term involving the variable [tex]\(b\)[/tex].
2. Combining the Terms:
Since there are no like terms to combine (i.e., there are no other terms with [tex]\(a\)[/tex] or [tex]\(b^2\)[/tex] separately that can be combined through addition or subtraction), the expression remains as it is.
3. Rewriting the Expression:
The simplest form of the expression, since it cannot be further simplified or expanded through any standard algebraic operations, is [tex]\(\left(2a + 3b^2\right)\)[/tex].
Thus, the fully simplified form of the given expression is:
[tex]\[ 2a + 3b^2 \][/tex]
This is the final solution.
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