Answer:
A = 13 , B = - 43 , C = 13
Explanation:
Consider the left side
+
=
← expand factors on numerator using FOIL
=

=

The denominators on both sides of the equation are equal so equate the numerators.
13x² - 43x + 13 = Ax² + Bx + C
comparing coefficients of like terms , gives
A = 13 , B = - 43 , C = 13