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irina [24]
3 years ago
14

5x²+4(7x²-x)-2xsimplified how would you do that

Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0
33x
32x^2 - 6x
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LOTS OF POINTS <br> Simplify the expression by factoring, showing the steps in your work
julia-pushkina [17]

Answer:

\frac{3x+7}{4x+1}

Step-by-step explanation:

\frac{12x^2+31x+7}{16x^2+8x+1}

First you factor 12x^2+31x+7:

=\left(12x^2+3x\right)+\left(28x+7\right)

Then you factor out 3x from 12x^2+3x:

12x^2+3x

=12xx+3x

=3\cdot \:4xx+3x

=3x\left(4x+1\right)

Then you factor out 7 from 28x+7:

28x+7

=7\cdot \:4x+7

=7\left(4x+1\right)

=3x\left(4x+1\right)+7\left(4x+1\right)

Factor out common term 4x+1:

=\left(4x+1\right)\left(3x+7\right)

\frac{\left(4x+1\right)\left(3x+7\right)}{16x^2+8x+1}

Factor 16x^2+8x+1:

=4^2x^2+8x+1

=4^2x^2+8x+1^2

=\left(4x\right)^2+8x+1^2

=\left(4x\right)^2+2\cdot \:4x\cdot \:1+1^2

Use the perfect square formula:

=\left(4x+1\right)^2

\frac{\left(4x+1\right)\left(3x+7\right)}{\left(4x+1\right)^2}

Cancel out common factor 4x+1:

=\frac{3x+7}{4x+1}

8 0
3 years ago
23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number?
Vedmedyk [2.9K]
Go step by step

23 is decreased by : 23 -

The product of 44 and an unknown number

Let x represent the unknown number
And Product means multiplication

The product of 44 and an unknown number : 44x

Equals 199 : = 199

Now, put that all together

23 - 44x = 199

Now, begin to solve

Subtract 23 on both sides of the equation

-44x = 176

Divide both sides of the equation by -44 to isolate x

x = -4

The unknown number is -4
6 0
3 years ago
True or false ......
adelina 88 [10]

Answer:

false

Step-by-step explanation:

4 0
2 years ago
Please help me what is 20% of 60
WINSTONCH [101]
The answer is going to be 12 
Hopes This Helps:)
3 0
3 years ago
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Determine which of the four levels of measurement is most appropriate<br> students grades
Advocard [28]

Answer:

Ordinal

Step-by-step explanation:

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