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sergeinik [125]
3 years ago
10

multiply or divide and then simplify (x+1)^2/(x-5)*(x-3)/(x+1) 3x+3/2 divided by 4/9x+9 4a/3a-3*3(a-1)/16a x+2/x-1 divided by 5x

+10/x-2
Mathematics
1 answer:
antoniya [11.8K]3 years ago
5 0
\frac{(x+1)^2}{x-5}\cdot\frac{x-3}{x+1}=\frac{x+1}{x-5}\cdot\frac{x-3}{1}=\frac{(x+1)(x-3)}{x-5}=\frac{x^2-3x+x-3}{x-5}=\frac{x^2-2x-3}{x-5}\\\\D:x\neq5\ \wedge\ x\neq-1


\frac{3x+3}{2}:\frac{4}{9x+9}=\frac{3x+3}{2}\cdot\frac{9x+9}{4}=\frac{27x^2+27x+27x+27}{8}=\frac{27x^2+54x+27}{8}\\\\D:x\neq1


\frac{4a}{3a-3}\cdot\frac{3(a-1)}{16a}=\frac{1}{3a-3}\cdot\frac{3a-3}{4a}=\frac{1}{4a}\\\\D:a\neq1\ \wedge\ a\neq0


\frac{x+2}{x-1}:\frac{5x+10}{x-2}=\frac{x+2}{x-1}\cdot\frac{x-2}{5x+10}=\frac{x+2}{x-1}\cdot\frac{x-2}{5(x+2)}=\frac{1}{x-1}\cdot\frac{x-2}{5}=\frac{x-2}{5x-5}\\\\D:x\neq1\ \wedge\ x\neq2\ \wedge\ x\neq-2
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Step-by-step explanation:

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photoshop1234 [79]

Answer:

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For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.
ExtremeBDS [4]

Answer:

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Step-by-step explanation:

14a) First we find the least common denominator (LCD).  The first thing that both 5 and 4 will divide into is 20; this is our LCD.

It takes 4 5's to make 20; multiplying the numerator by 4, we have 5 8/20.  It takes 5 4's to make 20; multiplying the numerator by 5, we have 2 5/20.  Subtracting these,

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14b) We must write the whole number 5 as a mixed number with a denominator of 8; 5 = 4 8/8.  This gives us

4 8/8 - 2 7/8 = 2 1/8

14c) The LCD of 3 and 8 is 24.  It takes 8 3's to make 24; multiplying the numerator by 8, we have 7 16/24.  It takes 3 8's to make 24; multiplying the numerator by 3, we have 6 3/24.  Subtracting we have

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8 7/6 - 5 4/6 = 3 3/6 = 3 1/2

6 0
3 years ago
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Answer:

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Step-by-step explanation:

Let's solve for x.

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Hope it helped!

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