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mina [271]
3 years ago
15

HeLp PlEasE What is the factored form of the following expression? 9x2 + 18x + 9 A. 3(x + 3)(3x + 1) B. 9(x + 1)2 C. (9x + 1)(x

+ 9) D. 3(x + 1)2 help DDDDDDD:
Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0

Answer:

<h2>The answer is option B </h2>

Step-by-step explanation:

9x² + 18x + 9

<u>Factor out 9 from the expression</u>

That's

9( x² + 2x + 1)

Using the identity

a² + 2ab + b² = ( a + b)² factor the expression

We have the final answer as

<h3>9( x + 1)²</h3>

Hope this helps you

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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl
earnstyle [38]

Answer:

B. \frac{4x^{2}+24x+31}{3x^{2}+13x+12}

Step-by-step explanation:

We have been given a rational expression \frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)} and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.      

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}  

Now let us simplify our expression using FOIL.  

\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}

\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}    

Now we have same denominators, so we can add our numerators.

\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}    

Now let us combine like terms.

\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}  

\frac{4x^{2}+24x+31}{3x^{2}+13x+12}  

Therefore, the simplest form of our given rational expression will be \frac{4x^{2}+24x+31}{3x^{2}+13x+12}  and option B is the correct choice.

8 0
3 years ago
I will send you a pic of the question... &lt;3​
RSB [31]

Answer:

kk send the pictures

Step-by-step explanation:

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6 0
3 years ago
5 is 20 percent of what
miskamm [114]

Answer:25 is the answer

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
please help as soon as you see this because people keep answering my questions a day later it’s too late by then‍♂️ &amp; if you
melisa1 [442]

Answer:

A. Cylinder, Shpere, Cone

Step-by-step explanation:

a cylander can be made by rotating a square.

for a sphere, a semi-circle.

for a cone, a right triangle.

hope this helped you

7 0
3 years ago
Can someone help me find the missing side length!
aev [14]

Answer:

12

Step-by-step explanation

so what I did is I divided 15 by 5 to get 3 also 9 divided by 3 equals 3 to so you could of also done that.

then i multiplied to 4 x 3 to get the missing side length which equals 12

6 0
2 years ago
Read 2 more answers
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