Simplify the given expression: $5 x^{4} - 7 x^{2} + 8 x - 1 + 3 x^{3} - 9 x^{2} + 7 - 3 x^{4} + 11 x - 2 + 8 x^{2}$

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Solution

The given expression is: $5 x^{4} - 7 x^{2} + 8 x - 1 + 3 x^{3} - 9 x^{2} + 7 - 3 x^{4} + 11 x - 2 + 8 x^{2}$
Simplifying the expression:
To simplify an expression, all the like terms to be grouped and added.
So, the given expression $5 x^{4} - 7 x^{2} + 8 x - 1 + 3 x^{3} - 9 x^{2} + 7 - 3 x^{4} + 11 x - 2 + 8 x^{2}$ can be written as:
$(5 x^{4} - 3 x^{4}) + 3 x^{3} + (- 7 x^{2} - 9 x^{2} + 8 x^{2}) + (8 x + 11 x) + (- 1 + 7 - 2)$
$=$ $2 x^{4} + 3 x^{3} - 8 x^{2} + 19 x + 4$
Therefore, the simplified expression is $2 x^{4} + 3 x^{3} - 8 x^{2} + 19 x + 4$

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