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anonymous

  • one year ago

What sum is equal to 1/x+5 + x^2/x-5

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  1. anonymous
    • one year ago
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    @Nnesha any ideas?

  2. Nnesha
    • one year ago
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    \[\huge\rm \frac{ 1 }{ x+5 } + \frac{ x^2 }{ x-5 }\] find the common denominator

  3. Nnesha
    • one year ago
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    find common denominator multiply the numerator of first fraction by the denominator of 2nd fraction multiply the numerator of 2nd fraction by the denominator of first fraction here is an example \[\huge\rm \frac{ a } {\color{Red}{ b} }+\frac{ c }{\color{blue}{ d} } =\frac{ a\color{blue}{d}+c\color{Red}{b} }{ bd}\]

  4. anonymous
    • one year ago
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    So 1x + 3x/ x+5 x-5

  5. Nnesha
    • one year ago
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    hmm that looks wrong when the denominators are not the same to get the common denominator multiply denominators of both fractions just like in the example i gave you

  6. Nnesha
    • one year ago
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    make sense ? or do you need an example with numbers ?

  7. anonymous
    • one year ago
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    yes please. I know this is a simple question but ive been doing algebra since about 8am lol my mind is jumbled

  8. Nnesha
    • one year ago
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    alright i'll give you an example \[\huge\rm \frac{ 2 }{ 3 } +\frac{ 4 }{ 5 }\] denominators aren't the same so i should multiply them 3 times 5 = 15 so 15 is my common denominator \[\frac{ ??? + ?? }{ 15 }\] when we convert two fractions to one we should multiply the numerator of `1st` fraction with the denominator of `2nd` fraction and multiply the numerator of `2nd` fraction with the denominator of first fracton just like cross multiplication but we should keep the positive sign |dw:1444600450247:dw|

  9. Nnesha
    • one year ago
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    |dw:1444600541383:dw| denominators aren't the same so multiply them

  10. Nnesha
    • one year ago
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    familiar with the foil method ?

  11. anonymous
    • one year ago
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    Not really

  12. Nnesha
    • one year ago
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    well alright common denominators (x+5)(x-5) |dw:1444600811171:dw| what would you get at the numerator ?

  13. anonymous
    • one year ago
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    x-5 * 1 and x+5 * x^2

  14. Nnesha
    • one year ago
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    perfect !

  15. Nnesha
    • one year ago
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    \[\huge\rm \frac{ x-5 +x^2 (x+5) }{(x+5)(x-5) }\] (x-5) times 1 = x-5 distribute parentheses x^2 (x+5)

  16. Nnesha
    • one year ago
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    |dw:1444600992770:dw| multiply each term in the parentheses by outside term

  17. anonymous
    • one year ago
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    |dw:1444611869194:dw|

  18. Nnesha
    • one year ago
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    x^4 ??? x^2 times x^1 =?

  19. Nnesha
    • one year ago
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    x is same as 1x^1 :=)

  20. anonymous
    • one year ago
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    so it would be x^3 not x^4

  21. Nnesha
    • one year ago
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    yes right

  22. Nnesha
    • one year ago
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    that's it now you can foil (x-5)(x+5) if you want :=)

  23. Nnesha
    • one year ago
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    but anywyas let's learn how to foil |dw:1444601278891:dw| write one parentheses at the top of the box and one at left side multiply each left term by the top one

  24. Nnesha
    • one year ago
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    |dw:1444601327889:dw| now multiply by 2nd term

  25. anonymous
    • one year ago
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    5x and -25

  26. Nnesha
    • one year ago
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    |dw:1444601493094:dw| right now combine like terms 5x -5x cancel

  27. Nnesha
    • one year ago
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    |dw:1444601524920:dw| that would be denomiantor