Assuming that x doesn't equal to -3 simplify ((8x-4)/(x+3))/((12x-20)/(2x-6))
+2446 To simplify this monstrosity 8x−4x+312x−202x−6, we must eliminate the inner fractions.
| 8x−4x+312x−202x−6∗2x−612x−202x−612x−20 | Multiply by the reciprocal of the denominator to eliminate the fraction in a fraction. This may look complicated, but we are actually multiplying the fraction by 1, which does not affect its value. |
| 8x−4x+3∗2x−612x−20 | Now, multiply the fractions together. Let's start with the numerator. |
| (8x−4)(2x−6)=16x2−48x−8x+24=16x2−56x+24 | Do the same with the denominator. |
| (x+3)(12x−20)=12x2−20x+36x−60=12x2+16x−60 | Now, combine them together. |
| 16x2−56x+2412x2+16x−60 | Both the numerator and denominator both have a GCF of 4. |
| 4x2−14x+63x2+4x−15 |
