Question

Упростить срочно жду долго1)a/ab+6b^2*3a^2/a^2+12ab+36b^22)7a/a^2-25b^2+(ab+5b^2)3)a/a-3b*(3/a-1/b)4)(36v/v+v/y-12)+4v/v-6y

Answer 1

упростить срочно жду долго
1) a/ab+6b^2*3a^2/a^2+12ab+36b^2=1/b + 54b2 +12ab = (54b3 + 12 ab2 + 1)/b
2) 7a/a^2-25b^2+(ab+5b^2)=7a /a2 –5b2 + ab =(7a -5a2b2 +a3b)/a2
3)  a/a-3b*(3/a-1/b)=(ab – 9b2 + 3ab)/ab
4)( 36v/v+v/y-12)+4v/v-6y=(28y – 6y2 + v)/y

Answer 2

Simplifying Expressions

To simplify the given expressions, let's break them down one by one:

Expression 1: ``` a/ab + 6b^2 * 3a^2 / (a^2 + 12ab + 36b^2) ```

We can start by simplifying each term separately.

The first term, `a/ab`, can be simplified as `1/b` by canceling out the `a` terms.

Next, let's simplify the second term, `6b^2 * 3a^2 / (a^2 + 12ab + 36b^2)`. We can simplify this by canceling out the `b^2` term.

Now, let's rewrite the expression with the simplified terms: ``` 1/b + 18a^2 / (a^2 + 12ab + 36b^2) ```

Expression 2: ``` 7a / (a^2 - 25b^2) + (ab + 5b^2) ```

In this expression, we have two terms. Let's simplify them separately.

The first term, `7a / (a^2 - 25b^2)`, cannot be simplified further.

The second term, `(ab + 5b^2)`, is already simplified.

Let's rewrite the expression with the simplified terms: ``` 7a / (a^2 - 25b^2) + ab + 5b^2 ```

Expression 3: ``` a / (a - 3b) * (3 / a - 1 / b) ```

This expression involves multiplication and division. To simplify it, let's apply the distributive property.

First, let's simplify the multiplication within the parentheses: ``` 3 / a - 1 / b ```

Now, let's apply the distributive property: ``` (a / (a - 3b)) * (3 / a - 1 / b) = (3a / (a - 3b)) - (a / (a - 3b)) * (1 / b) ```

Let's rewrite the expression with the simplified terms: ``` (3a / (a - 3b)) - (a / (a - 3b)) * (1 / b) ```

Expression 4: ``` (36v / v) + (v / y - 12) + 4v / (v - 6y) ```

In this expression, we have three terms. Let's simplify them separately.

The first term, `(36v / v)`, can be simplified to `36`.

The second term, `(v / y - 12)`, cannot be simplified further.

The third term, `4v / (v - 6y)`, cannot be simplified further.

Let's rewrite the expression with the simplified terms: ``` 36 + (v / y - 12) + 4v / (v - 6y) ```

These are the simplified forms of the given expressions.