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Can you help me, please? THANKS!

Can you help me, please? THANKS!-example-1
User Tweellt
by
6.7k points

1 Answer

9 votes

Answer:

A = 13 , B = - 43 , C = 13

Explanation:

Consider the left side


(3x - 5)/(4x+3) +
(-2x+1)/(7x-2)

=
((3x-5)(7x-2)+(-2x+1)(4x+3))/((4x+3)(7x-2)) ← expand factors on numerator using FOIL

=
(21x^2-41x+10-8x^2-2x+3)/((4x+3)(7x-2))

=
(13x^2-43x+13)/((4x+3)(7x-2))

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

User Manandearth
by
6.7k points