The expression given is 5a² − 6ab + 3b². Step 1: Identify the terms in the expression. The terms are 5a², −6ab, and 3b². Step 2: Check for like terms. Like terms must have the exact same variables raised to the same powers. 5a² has the variable part a². −6ab has the variable part ab. 3b² has the variable part b². Since all the variable parts are different, there are no like terms to combine. Step 3: Conclude if simplification is possible. As there are no like terms, the expression cannot be simplified further by combining terms. 5a² − 6ab + 3b²

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5a2 - 6ab + 3b2

July 3, 2026Mathematics

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Answer

5a^2 - 6ab + 3b^2

Step-by-step solution

3 steps

The expression given is $5a^2 - 6ab + 3b^2$ .

Identify the terms in the expression.
The terms are $5a^2$ , $-6ab$ , and $3b^2$ .
Check for like terms.
Like terms must have the exact same variables raised to the same powers.
- $5a^2$ has the variable part $a^2$ .
- $-6ab$ has the variable part $ab$ .
- $3b^2$ has the variable part $b^2$ . Since all the variable parts are different, there are no like terms to combine.
Conclude if simplification is possible.
As there are no like terms, the expression cannot be simplified further by combining terms.
$\boxed{5a^2 - 6ab + 3b^2}$

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5a2 - 6ab + 3b2

Answer

Step-by-step solution

Identify the terms in the expression.

Check for like terms.

Conclude if simplification is possible.

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