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question 1 of 15, step 1 of 1 find the sum of (6x^{7} - 5x^{3}) and (7x…

Question

question 1 of 15, step 1 of 1

find the sum of (6x^{7} - 5x^{3}) and (7x^{3} + 8).

Explanation:

Set up the addition expression

Using the Polynomial Addition knowledge point

$$ (6x^7 - 5x^3) + (7x^3 + 8) $$

Group the like terms

Using the Polynomial Simplification knowledge point

$$ 6x^7 + (-5x^3 + 7x^3) + 8 $$

Combine the coefficients

Using the Polynomial Simplification knowledge point

$$ 6x^7 + (-5 + 7)x^3 + 8 = 6x^7 + 2x^3 + 8 $$

Answer:

Find the sum of \(6x^7 - 5x^3\) and \(7x^3 + 8\). <blank>\(6x^7 + 2x^3 + 8\)</blank>