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Anestetic [448]
3 years ago
13

What is the simplified form of x+7/x+3 + x-4/3

Mathematics
2 answers:
Novay_Z [31]3 years ago
6 0
3(x+7)+3(x+3)-4(x+3)
3x+21+3x+9-4x-12
2x+18 or 2(x+9)
Nat2105 [25]3 years ago
4 0

Answer:

x*(x+2)

Step-by-step explanation:

The expression is as follows:

(x+7)/(x+3)+(x-4)/3

To simplify we need to get rid of the denominators for each expression. We can see that the denominators are (x+3) and 3. We therefore mutliply the expression with 3(x+3):

3*(x+7)+(x-4)*(x+3)= 3*x+21+x^2-x-21

Simplify the expression

x^2+2*x=x*(x+2)

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Step-by-step explanation:

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3 years ago
75% as a fraction in simplest form
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3/4

Step-by-step explanation:

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3 years ago
Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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3 years ago
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