The fraction (2x 2 + 4x) ⁄ (4x 3 – 16x 2 – 48x) is equivalent to

Question

Accepted Answer

Factor the numerator and denominator; 2x 2 + 4x = 2x(x + 2); 4x 3 – 16x 2 – 48x = 4x(x 2 – 4x – 12) = 4x(x – 6)(x + 2). Cancel the 2x term in the numerator with the 4x term in the denominator, leaving 2 in the denominator. Cancel the (x + 2) terms in the numerator and denominator, leaving 2(x – 6) = 2x – 12 in the denominator.

Want a deeper, personalized explanation?

Related questions