Are the expressions the same or not?
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Are the expressions the same or not?
To determine if the expressions and are equivalent, we'll analyze their structures.
For two expressions to be equivalent, each corresponding term must be equal. Here, the expression has no constant term, whereas has a constant term of 2. Furthermore, the linear term coefficients differ: .
Therefore, the expressions and are not the same. They structurally differ and cannot be made equivalent just through similar values of .
Therefore, the solution to this problem is: No.
No
Are the expressions the same or not?
\( 3+3+3+3 \)
\( 3\times4 \)
Compare every part: For expressions to be equivalent, they must have identical constant terms and identical coefficients for each variable. If any part differs, they're not the same!
The expression has no constant term (just 18 times x), while has both a constant term (2) and a different coefficient (9) for x.
Yes! Pick any value for x and substitute it into both expressions. If you get different results, the expressions aren't equivalent. But remember: getting the same result for one value doesn't prove they're equal!
The constant term always affects the result! Even if variable parts were the same, adding 2 to one expression makes it larger by 2 for every possible x value.
Still not equivalent! For example, and have the same coefficient but differ by the constant 3, making them parallel but not equal.
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