Question

Factor 60x2 – 155x + 100 completely. A. (20x – 25)(3x – 4) B. 5(4x + 5)(3x + 4) C. 5(4x – 5)(3x – 4) D. (4x – 5)(15x – 20)

Answer 1

${\huge {\mathfrak {\orange {Answer :-}}}}$

60x^2 - 155x + 100

= 12x^2 - 31x + 20

= 12x^2 - 16x - 15x + 20

= 4x(3x - 4) - 5(3x - 4)

= (4x - 5)(3x - 4)

$<b>$ That's it..

Answer 2

Here is your answer........

$60x ^{2} - 155x + 100$
$dividing \: by \: 5$
$12x ^{2} - 31x + 20$
$12x^{2} - 16x - 15x + 20$
$4x(3x - 4) - 5(3x - 4)$
$(4x - 5)(3x - 4)$

So the right option is C.