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Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?

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Answer:

Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?

Step-by-step explanation:  

6x3+3x2+8)+(2x2−9x+10)?

The equivalent expression is 6x^3+5x^2-9x+18.

What is an algebraic expression?

An expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Algebraic expressions include at least one variable and at least one operation.

For the given situation,

The expression is [tex](6x^3+3x^2+8)+(2x^2-9x+10)[/tex]

⇒ [tex]6x^{3}+3x^{2} +8 +2x^{2} -9x+10[/tex]

Rearrange the expression in decreasing order of polynomial,

⇒ [tex]6x^{3}+3x^{2}+2x^{2} -9x+8+10[/tex]

Now add the like terms,

⇒ [tex]6x^{3} +5x^{2} -9x+18[/tex]

Hence we can conclude that the equivalent expression is [tex]6x^{3} +5x^{2} -9x+18[/tex].

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