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Exercise

$x^4-6x^3+9x^2-6x^3+36x^2-54x+9x^2-54x+81$

Step-by-step Solution

1

Combining like terms $-6x^3$ and $-6x^3$

$x^4-12x^3+9x^2+36x^2-54x+9x^2-54x+81$
2

Combining like terms $9x^2$ and $36x^2$

$x^4-12x^3+45x^2-54x+9x^2-54x+81$
3

Combining like terms $45x^2$ and $9x^2$

$x^4-12x^3+54x^2-54x-54x+81$
4

Combining like terms $-54x$ and $-54x$

$x^4-12x^3+54x^2-108x+81$

Final answer to the exercise

$x^4-12x^3+54x^2-108x+81$

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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