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Simplify the expression: (a)/(x-3) - (a2)/(x2-9)

Mathematics

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Answer

a(x+3−a)(x−3)(x+3)\frac{a(x+3-a)}{(x-3)(x+3)}

Step-by-step solution

6 steps

  1. দ্বিতীয় ভগ্নাংশের হরকে উৎপাদকে বিশ্লেষণ করুন।

    x2−9=(x−3)(x+3)x^2 - 9 = (x-3)(x+3)

  2. ভগ্নাংশগুলোর সাধারণ হর নির্ণয় করুন।

    সাধারণ হর হলো (x−3)(x+3)(x-3)(x+3)।

  3. ভগ্নাংশগুলোকে সাধারণ হর ব্যবহার করে লিখুন।

    ax−3−a2x2−9=a(x+3)(x−3)(x+3)−a2(x−3)(x+3)\frac{a}{x-3} - \frac{a^2}{x^2-9} = \frac{a(x+3)}{(x-3)(x+3)} - \frac{a^2}{(x-3)(x+3)}

  4. বিয়োগ করুন।

    a(x+3)−a2(x−3)(x+3)\frac{a(x+3) - a^2}{(x-3)(x+3)}

  5. লবকে সরল করুন।

    a(x+3)−a2=ax+3a−a2a(x+3) - a^2 = ax + 3a - a^2

    লব থেকে aa কমন নিন:

    a(x+3−a)a(x + 3 - a)

  6. চূড়ান্ত সরলীকৃত রূপ লিখুন।

    a(x+3−a)(x−3)(x+3)\frac{a(x+3-a)}{(x-3)(x+3)}
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