The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
2 answers:
Answer:
1/x-2
Step-by-step explanation:
welcome ;P
Hey!
The first step to solving the rest of this problem would be to distribute the parenthesis in -( 5x - 10 ).
<em>Original Equation :</em>
-( 5x - 10 )
<em>New Equation {Changed by Distributing the Parenthesis} :</em>
- ( 5x ) - ( -10 )
Now we'll simplify the equation.
<em>Old Equation :</em>
- ( 5x ) - ( -10 )
<em>New Equation {Simplified} :</em>
-5x + 10
Okay, now that that part of the equation has been changed, we can add the simplified part to our entire equation.
<em>New Equation :</em>
5x - 9 - 5x + 10
Next we need to group like terms.
<em>Old Equation :</em>
5x - 9 - 5x + 10
<em>New Equation {Changed by Grouping Like Terms} :</em>
5x - 5x - 9 + 10
And now we add the similar elements.
<em>Old Equation :</em>
5x - 5x - 9 + 10
<em>New Equation {Changed by Grouping Like Terms} :</em>
-9 + 10
And finally we simply add the numbers.
<em>Old Equation :</em>
-9 + 10
<em>Solution {Old Equation Solved} :</em>
1
<em>So, this means that 5x - 9 - ( 5x - 10 ) is</em> 1.
Hope this helps!
- Lindsey Frazier ♥
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