joaniescott20
Answered

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What is the difference of the polynomials?

What Is The Difference Of The Polynomials class=

Sagot :

Lucyheartfilia0415

Answer:

[tex]2x^{3} + 2x[/tex]

Step-by-step explanation:

[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation

[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract

[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms

[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified

[tex]2x^{3} + 2x[/tex] --> Simplified

Hope this helped! <3
x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x

the x^4’s cancel out and so do the x^2’s

2x^3 + 2x

hope this helps
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