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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.

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Answer:

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6 0
3 years ago
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
ale4655 [162]

Answer:

24 inches

Step-by-step explanation:

2 yards to inches :

2 x 12 = 24

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3 years ago
Read 2 more answers
What is the area of a rectangle whose side lengths are o and g?
Mila [183]

Answer:

Area=Base length x Height

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8 0
3 years ago
What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
10. Solve using substitution.<br> x - 2y = 3 3x + y = -5
nasty-shy [4]

Move all terms that don't contain x to the right side and solve.

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