The simplified form of (3x6 + 4x + 3) + (3x8 + 6x) is A.3x8 + x6 + 4x + 3B.3x8 + 3x6 + 10x + 3C.3x8 + 10x7 + 13x + 4D.6x14 + 4x + 3
Question
The simplified form of (3x^6 + 4x + 3) + (3x^8 + 6x) is
A. 3x^8 + x^6 + 4x + 3
B. 3x^8 + 3x^6 + 10x + 3
C. 3x^8 + 10x^7 + 13x + 4
D. 6x^{14} + 4x + 3
Solution
To simplify the expression (3x^6 + 4x + 3) + (3x^8 + 6x), we add the like terms together:
3x^8 (from the second expression) 3x^6 (from the first expression) 4x + 6x = 10x (combining the x terms from both expressions) 3 (from the first expression)
So, the simplified form of the expression is 3x^8 + 3x^6 + 10x + 3.
Therefore, the correct answer is B. 3x^8 + 3x^6 + 10x + 3.
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