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You can find infinitely many expressions that are equivalent to any given expression. For example, you can add and divide an arbitrary number.In this case, one interesting option is to factor the given expression. You can use the fact that there is a common factor; also, that you have the difference of two squares.

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x^2(3x - 2)(3x + 2)

Q: What expressions are equivalent to 9x4-4x2?

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An equation if both expressions are equal

That means that the two expressions represent the same number.

equivalent

You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.

equation

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the answer is a(n) equationequationWhen two expressions are equivalent they can form an equation.

Equivalent expressions.

equivalent expressions

4b-b

A statement that equates two equivalent expressions is called an Identity.

An equation if both expressions are equal

In the same way that you would solve equations because equivalent expressions are in effect equations

That means that the two expressions represent the same number.

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equivalent

You can use them to find a variable. Lets say you have two equivalent expressions with the same variable... x + 2x - 42 = 0 2x - 28 = 0 If you combine these equivalent expressions you ahve... x + 2x - 42 = 2x - 28 In all of the expressions you have x = 7 There are also other applications but its confusing to explain.

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