QuestionSimplify the expression: $(8 x^{3}-6 x^{4}+3)-(3 x^{3}-3+8 x^{4})$ .

Studdy Solution

STEP 1

Assumptions1. We are given two expressions, $\left(8 x^{3}-6 x^{4}+3\right)$ and \left(3 x^{3}-3+}\right). . We need to subtract the second expression from the first.

STEP 2

To subtract one polynomial from another, we subtract the corresponding terms in the two polynomials. We can rewrite the problem as follows $\left(8 x^{}-6 x^{4}+\right)-\left( x^{}-+8 x^{4}\right) =8 x^{}-6 x^{4}+ - x^{}+-8 x^{4}$

STEP 3

Now, we can combine like terms. We group together the $x^{}$ terms, the $x^{3}$ terms, and the constants $= (8x^{3} -3x^{3}) - (6x^{} -8x^{}) + (3 -3)$

STEP 4

Perform the subtraction within each group $=x^{3} - (-2x^{4}) +0$

STEP 5

implify the expression $=5x^{3} +2x^{4}$ The result of the subtraction of the two given expressions is $5x^{3} +2x^{4}$ .

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