On solving the provided question, we can say that - the partial fraction decomposition is => 8x + 19/(x+8)(x-1) = 5/x+8 + 3/x-1
Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.
fraction:
8x + 19/(x+8)(x-1)
split
= A/x+8 + B/x-1
Lcm
= Ax-A+B(x+8)/(x+8)(x-1)
[tex]8x + 19 = Ax - A + Bx + 8BBy comparison, we have:Ax + Bx = 8x-A + 8B = 19This givesA + B = 8-A + 8B = 19Add both equations9B = 27Divide by 9B = 3Substitute B = 3 in A + B = 8A + 3 = 8Solve for AA = 5[/tex]
= 8x + 19/(x+8)(x-1) = 5/x+8 + 3/x-1
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