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\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Víkka
\frac{5x^{2}+15x+18}{\left(5x+1\right)\left(x^{2}-16\right)}
Graf
Spurningakeppni
Polynomial
5 vandamál svipuð og:
\frac { x + 2 } { x ^ { 2 } - 16 } + \frac { 4 } { 5 x ^ { 2 } - 19 x - 4 }
Deila
Afritað á klemmuspjald
\frac{x+2}{\left(x-4\right)\left(x+4\right)}+\frac{4}{\left(x-4\right)\left(5x+1\right)}
Stuðull x^{2}-16. Stuðull 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)}
Til að leggja saman eða draga saman segðir skaltu stækka þær til að nefnararnir verði eins. Minnsta sameiginlega margfeldi \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). Margfaldaðu \frac{x+2}{\left(x-4\right)\left(x+4\right)} sinnum \frac{5x+1}{5x+1}. Margfaldaðu \frac{4}{\left(x-4\right)\left(5x+1\right)} sinnum \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)}
Þar sem \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)} eru með sama nefnara skaltu leggja saman með því að leggja saman teljarana.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Margfaldaðu í \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)}
Sameinaðu svipaða liði í 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Víkka \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)}
Stuðull x^{2}-16. Stuðull 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)}
Til að leggja saman eða draga saman segðir skaltu stækka þær til að nefnararnir verði eins. Minnsta sameiginlega margfeldi \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). Margfaldaðu \frac{x+2}{\left(x-4\right)\left(x+4\right)} sinnum \frac{5x+1}{5x+1}. Margfaldaðu \frac{4}{\left(x-4\right)\left(5x+1\right)} sinnum \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)}
Þar sem \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)} eru með sama nefnara skaltu leggja saman með því að leggja saman teljarana.
\frac{5x^{2}+x+10x+2+4x+16}{\left(x-4\right)\left(x+4\right)\left(5x+1\right)}
Margfaldaðu í \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)}
Sameinaðu svipaða liði í 5x^{2}+x+10x+2+4x+16.
\frac{5x^{2}+15x+18}{5x^{3}+x^{2}-80x-16}
Víkka \left(x-4\right)\left(x+4\right)\left(5x+1\right).
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