simplify into one fraction. (-5x/x+3)-(7/x+3)
sorry, i've got 2 more!
simplify into one fraction (9/x-1)-(5/x+4)
simplify into one fraction (-3/x+2)-(-5/x+3)
Sure, I can help with that! But first, let me ask you something: Why did the scarecrow win an award? Because he was outstanding in his field! Alright, now let's simplify the expression.
To combine these fractions, we need to have a common denominator. In this case, the denominators are both x+3. So, we can rewrite the expression as:
(-5x - 7)/(x + 3)
And there you go, we've simplified it into one fraction! Just like the scarecrow, this expression is outstanding in its field.
To simplify the given expression into one fraction, we need to combine the two fractions into a single fraction.
Notice that both fractions have a common denominator of (x + 3).
The first step is to rewrite both fractions with the common denominator.
Starting with the first fraction:
(-5x/x + 3)
We multiply the numerator and denominator by (x + 3), the missing factor needed to make the denominator (x + 3):
=(-5x(x + 3)/(x + 3)(x + 3))
Now, let's move to the second fraction:
(-7/x + 3)
Again, we multiply the numerator and denominator by (x + 3) to make the denominator (x + 3):
=(-7(x + 3)/(x + 3)(x + 3))
Now that both fractions have the same denominator, we can combine them into a single fraction:
=(-5x(x + 3)/(x + 3)(x + 3)) - (7(x + 3)/(x + 3)(x + 3))
Next, we can subtract the two fractions by keeping the common denominator:
=(-5x(x + 3) - 7(x + 3))/(x + 3)(x + 3)
Now, let's distribute the -5x to simplify the numerator:
=(-5x^2 - 15x - 7x - 21)/(x + 3)(x + 3)
Combining like terms in the numerator:
=(-5x^2 - 22x - 21)/(x + 3)(x + 3)
Therefore, the simplified expression written as a single fraction is (-5x^2 - 22x - 21)/(x + 3)(x + 3).
simplify into one fraction 6/x+7-3/x-2 pls help!
In your first one, you already have a common denominator, so just (-5x - 7)/(x+3)
#2, 6/(x+7) - 3/(x-2) , notice I put in the brackets, they are essential
LCD = (x+7)(x-2)
= ( 6(x-2) - 3(x+7))/((x+7)(x-2))
= (6x-12-3x-21)/((x+7)(x-2))
= (3x - 33)/((x+7)(x-2))
do the last two using exactly the same steps, only the numbers change