1/8x^4+16x^3+1/4x^4-19x^3-10

Answer:
[tex]\dfrac{3}{8}x^4-3x^3-10[/tex]
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Step-by-step explanation:
You want to combine like terms in the expression ...
[tex]\dfrac{1}{8}x^4+16x^3+\dfrac{1}{4}x^4-19x^3-10[/tex]
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Like terms are terms with the same power of x. We can combine them by adding their coefficients.
[tex]=\left(\dfrac{1}{8}+\dfrac{1}{4}\right)x^4+(16-19)x^3-10\\\\\\=\boxed{\dfrac{3}{8}x^4-3x^3-10}[/tex]