Question

(2x+11x-21)/(4x^2-2)

Answer 1

9х-21/2х^2=9х-2х/21=7х/21
х=3

Answer 2

To simplify the expression $\frac{2x + 11x - 21}{4x^2 - 2}$, follow these steps:

1. Combine like terms in the numerator: $2x + 11x - 21 = 13x - 21$

2. Factor the denominator: $4x^2 - 2 = 2(2x^2 - 1)$

3. Recognize that $2x^2 - 1$ is a difference of squares, and you can factor it further: $2x^2 - 1 = (2x + 1)(2x - 1)$

Now, your expression looks like this: $\frac{13x - 21}{2(2x + 1)(2x - 1)}$

4. Cancel out common factors if possible: You can cancel the common factor of 2 in the numerator and denominator: $\frac{13x - 21}{2(2x + 1)(2x - 1)} = \frac{13x - 21}{4(x + 1)(2x - 1)}$

So, the simplified expression is $\frac{13x - 21}{4(x + 1)(2x - 1)}$.