anitacrisp31 anitacrisp31
  • 23-05-2020
  • Mathematics
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find the LCD of the rational expressions 4h/h^2-k^2,5/h^2-2hk+k^2​

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sqdancefan
sqdancefan sqdancefan
  • 23-05-2020

Answer:

  [tex]h^3-h^2k-hk^2+k^3[/tex]

Step-by-step explanation:

[tex]\dfrac{4h}{h^2-k^2}=\dfrac{4h(h-k)}{(h-k)(h+k)(h-k)}\\\\\dfrac{5}{h^2-2hk+k^2}=\dfrac{5(h+k)}{(h-k)^2(h+k)}\\\\\text{The common denominator is ...}\\\\(h-k)^2(h+k)=\boxed{h^3-h^2k-hk^2+k^3}[/tex]

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