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vagabundo [1.1K]
2 years ago
11

3a + b/a + 4a if a= 4 and b= -12

Mathematics
1 answer:
Feliz [49]2 years ago
7 0
Replace a with 4 and b with -12

3(4) + -12/4 + 4(4) = 16+-12/4+4*4 = 29
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       2b                     2a
----------------- +  -----------------
   (b+a)^2            (b^2 - a^2)

            2b                     2a
= ----------------- +  -------------------
      (b+a)(b+a)         (b+a)(b-a)

         2b(b - a) +  2a(b + a)
= ------------------------------------
           (b+a)(b+a)(b-a)


         2b^2 - 2ab  +  2ab + 2a^2
= ---------------------------------------
           (b+a)(b+a)(b-a)

         2b^2 + 2a^2
= ------------------------
        (b+a)(b+a)(b-a)

         2(b^2 + a^2)
= ------------------------
        (b+a)^2 (b-a)

Answer:

Numerator:        2(b^2 + a^2)
Denominator:    (b+a)^2 (b-a)
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