Which expression is equivalent to (3x^4 - 6x^2 + 8x) - (x^4 + 8x^3 - 3x)?
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Answer:
[tex]2x^{4} -6x^{2} +11x-8x^{3}[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]3x^{4} -6x^{2} +8x-x^{4} -8x^{3} +3x\\[/tex]
2) Collect like terms.
[tex](3x^{4} -x^{4} )-6x^{2} +(8x+3x)-8x^{3}[/tex]
3) Simplify.
[tex]2x^{4} -6x^{2} +11x-8x^{3}[/tex]