Factor completely and then place the factors in the proper location on the grid.

Nataliya [291]

To simplify the given expression .

$\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 }$

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$\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}$

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5 0

3 years ago

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There are 229 people attending a convention. Each table seats 8 people. What is the least number of tables needed to seat everyo

tresset_1 [31]

25 Is the least number of tables

5 0

4 years ago

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Solve -5 √x =-15<br> A. X= -9<br> B. X= -7<br> C. X= 9<br> D. X= 7

Leokris [45]

Divide both sides by -5
You would then get (square root)x=3 since the negatives would cancel out
Then you square both sides
You will be left with (x)*2=(3)*2
Your answer will be C. X=9
Hope that helped!

8 0

3 years ago

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The following dot plot represents a random sample of elementary students and the number of children that live in their home. If

ddd [48]

Answer:

All households in the United States contain at least one child.

and None of the households in the United States contain five children.

Step-by-step explanation:this is what i awnsered sorry if its wrong

4 0

3 years ago

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