Question

9а²-24ав+16в²- 253а-4в-5. а=1/9. в=2 1/3​

Answer 1

Ответ:

Решение представлено на фотографии

Answer 2

To evaluate the given expression $9a^2 - 24ab + 16b^2 - 253a - 4b - 5$ given $a = \frac{1}{9}$ and $b = 2 \frac{1}{3}$, let's substitute these values into the expression and simplify step by step.

Given values: $a = \frac{1}{9}$ $b = 2 \frac{1}{3}$ or $b = \frac{8}{3}$

Substitute $a$ and $b$ into the expression: $9\left(\frac{1}{9}\right)^2 - 24\left(\frac{1}{9}\right)\left(\frac{8}{3}\right) + 16\left(\frac{8}{3}\right)^2 - 253\left(\frac{1}{9}\right) - 4\left(\frac{8}{3}\right) - 5$

Simplify each term step by step:

1. $9\left(\frac{1}{9}\right)^2 = \frac{1}{1} = 1$
2. $24\left(\frac{1}{9}\right)\left(\frac{8}{3}\right) = \frac{64}{3}$
3. $16\left(\frac{8}{3}\right)^2 = \frac{256}{3}$
4. $253\left(\frac{1}{9}\right) = \frac{253}{9}$
5. $4\left(\frac{8}{3}\right) = \frac{32}{3}$
6. Combining the constants: $5$

Now plug these simplified values back into the expression: $1 - \frac{64}{3} + \frac{256}{3} - \frac{253}{9} - \frac{32}{3} - 5$

Now, find a common denominator to combine the fractions: $=\frac{9}{9} - \frac{64}{9} + \frac{256}{9} - \frac{253}{9} - \frac{96}{9} - \frac{45}{9}$

Combine the fractions: $=\frac{-1}{9}$

So, the value of the given expression when $a = \frac{1}{9}$ and $b = 2 \frac{1}{3}$ is $\frac{-1}{9}$.