Question

16m+16n/a^5 × 3a^7/m^2-n^2

Answer 1

ответ прикрепил, только так

Answer 2

To simplify the expression $\frac{16m + 16n}{a^5} \times \frac{3a^7}{m^2 - n^2}$, you can follow these steps:

1. Factor the numerator of the second fraction using the difference of squares:

$m^2 - n^2 = (m + n)(m - n)$

2. Rewrite the expression with the factored denominator:

$\frac{16m + 16n}{a^5} \times \frac{3a^7}{(m + n)(m - n)}$

3. Cancel common factors in the fractions:

$16$ can be factored out of $16m + 16n$ as $16(m + n)$.

$\frac{16(m + n)}{a^5} \times \frac{3a^7}{(m + n)(m - n)}$

Now, you can cancel the common factor $(m + n)$ from the numerator and denominator:

$\frac{16\cancel{(m + n)}}{a^5} \times \frac{3a^7}{\cancel{(m + n)}(m - n)}$

4. Simplify further:

$\frac{16}{a^5} \times \frac{3a^7}{m - n}$

5. Now, multiply the fractions together:

$\frac{16 \cdot 3a^7}{a^5(m - n)}$

6. Combine like terms in the numerator:

$48a^2(m - n)$

So, the simplified expression is $48a^2(m - n)$.