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Nezavi [6.7K]
3 years ago
14

Prove the polynomial identity

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

The steps have been shown in the solution below

Step-by-step explanation:

(3x+1)^{2} - 2(3x+1)=(3x+1)(3x-1)

9x^{2} +6x+1 -6x-2= (3x+1) (3x-1)\\\\9x^{2} -1=(3x+1)(3x-1)\\\\(3x+1)(3x-1)=(3x+1)(3x-1)\\

LHS=RHS Hence, proved.

You might be interested in
Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x
gladu [14]

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

ax^2+bx+c=0

Here, (<em>a,b,c</em>) are the real numbers and <em>x </em>is the variable.

To find the value of x, the following formula is used,

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

The given equation is,

2(x+ 3)^2 - 4 = 0

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0

On comparing with standard equation we get,

a=1, b=6, c=7

Put this values in the above formula,

x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

brainly.com/question/1214333

5 0
2 years ago
Help I need it I’m almost done
sesenic [268]

Answer:

E

Step-by-step explanation:

3 0
3 years ago
Ok so I need help on this ,asap plz :)
iragen [17]
Number 1 is 4 radical 10

4 0
3 years ago
PLEASE HELP ME !<br> (2,7); 3x-y =5<br> show all steps !
Zigmanuir [339]

Answer:

i dont think you've got the right (x,y) pair....

Step-by-step explanation:

3x - y = 5

3(2) - 7 = 5

6 - 7 = 5

those are not the correct coordinates for the equation

3 0
2 years ago
HELP PLEASE <br><br> Answer choices <br><br> A). 12<br><br> B). 2<br><br> C). 6<br><br> D). 25/3
I am Lyosha [343]
That is 6 I believe

3 squared equals 9
9*2=18
18/3=6
4 0
3 years ago
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