adding and subtracting rational expressions with unlike denominators\nenter the values for ( a ) and ( b )…

adding and subtracting rational expressions with unlike denominators\nenter the values for ( a ) and ( b ) that complete the sum:\n \frac{3}{x}+\frac{5}{x^{2}}=\frac{a x + b}{x^{2}} \n( a = )\n( b = )

adding and subtracting rational expressions with unlike denominators\nenter the values for ( a ) and ( b ) that complete the sum:\n \frac{3}{x}+\frac{5}{x^{2}}=\frac{a x + b}{x^{2}} \n( a = )\n( b = )

Answer

Explanation:

Step1: Find common denominator

The common denominator of (\frac{3}{x}) and (\frac{5}{x^{2}}) is (x^{2}). Rewrite (\frac{3}{x}) as (\frac{3x}{x^{2}}).

Step2: Add the fractions

(\frac{3x}{x^{2}}+\frac{5}{x^{2}}=\frac{3x + 5}{x^{2}})

Answer:

(a = 3), (b=5)