##### Simplifying Rational Expressions.

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Write in lowest terms:   7x2 - 25x + 12

7x2 - 18x + 8

Oct 19th, 2015

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# 9x2y8-3xyy2+4x6y3

## Final result :

```  xy3 • (4x5 + 9xy5 - 3)
```

### Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y3"   was replaced by   "y^3".  4 more similar replacement(s).

## Step  1  :

``` Raise  y to the  3rd power
```

#### Equation at the end of step  1  :

```  (((9•(x2))•(y8))-(3xy•(y2)))+((4•(x6))•y3)
```

## Step  2  :

``` Raise  x to the  6th power
```

#### Equation at the end of step  2  :

```  (((9•(x2))•(y8))-(3xy•(y2)))+((4•x6)•y3)
```

## Step  3  :

``` Raise  y to the  2nd power
```

#### Equation at the end of step  3  :

```  (((9•(x2))•(y8))-(3xy•y2))+22x6y3
```

## Step  4  :

``` Multiply  3xy  by  y2
```

#### Multiplying exponential expressions :

4.1   y1 multiplied by y2 = y(1 + 2) = y3

#### Equation at the end of step  4  :

```  (((9•(x2))•(y8))-3xy3)+22x6y3
```

## Step  5  :

``` Raise  y to the  8th power
```

#### Equation at the end of step  5  :

```  (((9 • (x2)) • y8) -  3xy3) +  22x6y3
```

## Step  6  :

``` Raise  x to the  2nd power
```

#### Equation at the end of step  6  :

```  (((9 • x2) • y8) -  3xy3) +  22x6y3
```

## Step  7  :

```Simplify   9x2y8-3xy3  +  22x6y3
```

## Step  8  :

#### Pulling out like terms :

7.1   Pull out like factors :

4x6y3 + 9x2y8 - 3xy3 =  xy3 • (4x5 + 9xy5 - 3)

#### Trying to factor a multi variable polynomial :

7.2   Factoring  4x5 + 9xy5 - 3

Try to factor this multi-variable trinomial using trial and error
Factorization fails

## Final result :

```  xy3 • (4x5 + 9xy5 - 3)
```

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 19th, 2015

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Oct 19th, 2015
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Oct 19th, 2015
Sep 21st, 2017
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