The expressions equivalent to (81x) include (9^2x) (since (81 = 9^2)), (3^4x) (since (81 = 3^4)), and (x \cdot 81). Additionally, (81 \cdot x) and (x \cdot 81) are also equivalent forms. All these expressions represent the same quantity.
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An equation if both expressions are equal
Yes, the expression (9x^2 + 81x + 9) is a trinomial. A trinomial is defined as a polynomial with three terms, which in this case are (9x^2), (81x), and (9). Each term consists of a coefficient and a variable raised to a power, fitting the criteria for a trinomial.
To determine which expressions are equivalent, you need to analyze their structure and simplify them if necessary. Equivalent expressions yield the same value for all variable inputs, so you can also substitute specific values to test for equality. If you provide the specific expressions in question, I can help you evaluate their equivalence.
72
82
Equivalent expressions.
the answer is a(n) equationequationWhen two expressions are equivalent they can form an equation.
equivalent expressions
A statement that equates two equivalent expressions is called an Identity.
4b-b
85
An equation if both expressions are equal
Yes, the expression (9x^2 + 81x + 9) is a trinomial. A trinomial is defined as a polynomial with three terms, which in this case are (9x^2), (81x), and (9). Each term consists of a coefficient and a variable raised to a power, fitting the criteria for a trinomial.
To determine which expressions are equivalent, you need to analyze their structure and simplify them if necessary. Equivalent expressions yield the same value for all variable inputs, so you can also substitute specific values to test for equality. If you provide the specific expressions in question, I can help you evaluate their equivalence.
In the same way that you would solve equations because equivalent expressions are in effect equations