Question

M^2+10m-(4m-9) / 9-m^2​

Answer 1

Ответ:

9^#au)10+2+2 вот ововововолвлаашаш

Answer 2

To simplify the expression $\frac{M^2+10M-(4M-9)}{9-M^2}$, we can start by factoring the numerator and denominator and then canceling out common factors. Here's the step-by-step solution:

1. Factor the numerator: $M^2 + 10M - (4M - 9) = M^2 + 10M - 4M + 9$ $= (M^2 + 6M + 9)$

2. Factor the denominator: $9 - M^2 = -(M^2 - 9) = -(M + 3)(M - 3)$

3. Now, rewrite the expression with factored forms: $\frac{M^2 + 6M + 9}{-(M + 3)(M - 3)}$

4. Notice that the numerator is a perfect square trinomial, which can be factored further: $M^2 + 6M + 9 = (M + 3)(M + 3) = (M + 3)^2$

5. Substitute this back into the expression: $\frac{(M + 3)^2}{-(M + 3)(M - 3)}$

6. Now, you can simplify further by canceling out the common factor $(M + 3)$ in the numerator and denominator: $\frac{\cancel{(M + 3)}(M + 3)}{-\cancel{(M + 3)}(M - 3)}$

7. The final simplified expression is: $\frac{M + 3}{-(M - 3)}$

So, the simplified form of the expression $\frac{M^2+10M-(4M-9)}{9-M^2}$ is $\frac{M + 3}{-(M - 3)}$.