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\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
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\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
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\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Faktoriser x^{2}-16. Faktoriser 5x^{2}-19x-4.
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}+\frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
For tilføje eller fratrække udtryk skal du udvide dem for at gøre nævneren ens. Mindste fælles multiplum for \left(x-4\right)\left(x+4\right) og \left(x-4\right)\left(5x+1\right) er \left(x-4\right)\left(x+4\right)\left(5x+1\right). Multiplicer \frac{x+2}{\left(x-4\right)\left(x+4\right)} gange \frac{5x+1}{5x+1}. Multiplicer \frac{4}{\left(x-4\right)\left(5x+1\right)} gange \frac{x+4}{x+4}.
\frac{\left(x+2\right)\left(5x+1\right)+4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Da \frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} og \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} har den samme fællesnævner, skal du addere dem ved at tilføje deres tællere.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Lav multiplikationerne i \left(x+2\right)\left(5x+1\right)+4\left(x+4\right).
\frac{5x^{2}+15x+18}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Kombiner ens led i 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Udvid \left(x-4\right)\left(x+4\right)\left(5x+1\right).
\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Faktoriser x^{2}-16. Faktoriser 5x^{2}-19x-4.
\frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}+\frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
For tilføje eller fratrække udtryk skal du udvide dem for at gøre nævneren ens. Mindste fælles multiplum for \left(x-4\right)\left(x+4\right) og \left(x-4\right)\left(5x+1\right) er \left(x-4\right)\left(x+4\right)\left(5x+1\right). Multiplicer \frac{x+2}{\left(x-4\right)\left(x+4\right)} gange \frac{5x+1}{5x+1}. Multiplicer \frac{4}{\left(x-4\right)\left(5x+1\right)} gange \frac{x+4}{x+4}.
\frac{\left(x+2\right)\left(5x+1\right)+4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Da \frac{\left(x+2\right)\left(5x+1\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} og \frac{4\left(x+4\right)}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)} har den samme fællesnævner, skal du addere dem ved at tilføje deres tællere.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Lav multiplikationerne i \left(x+2\right)\left(5x+1\right)+4\left(x+4\right).
\frac{5x^{2}+15x+18}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Kombiner ens led i 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Udvid \left(x-4\right)\left(x+4\right)\left(5x+1\right).
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