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Shkiper50 [21]
3 years ago
9

Which polynomial is a difference of two squares? x2 − 16 x2 + 16 x2 − 8 x2 + 8

Mathematics
2 answers:
AnnZ [28]3 years ago
8 0
X2 - 16, is the answer. The first one.

x^2 - 16 = (x)^2 - 4^2, difference of two squares :)
Effectus [21]3 years ago
6 0
The difference of two squares is of the form:

(a^2-b^2)

I believe that they might just want you to select

(x^2-16) which factors to (x-4)(x+4)

But there is nothing mathematically incorrect in doing the same for:

(x^2-8) which factors to (x-√8)(x+√8)
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The area of a rectangle is 8x3 + 6x2 - 10x. The width of the rectangle is 2x. Find the length of the rectangle.
Sladkaya [172]
2x multiplies to all numbers:
2x x 8x3 = 16x4
2x x 6x2 = 12x3
2x x -10x = -20x2

Answer: 16x4 + 12x³ - 20x²

Hope this helps :)
4 0
3 years ago
Simplify the expression<br> (1 + 1/x)(1 - 2/x+1)(1 + 2/x-1)
valentinak56 [21]

Answer: 4(×+1) (×-1)

Step-by-step explanation:

3 0
2 years ago
A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
Sonbull [250]

The perimeter of the square patio is the sum of its side lengths

The length of the patio is: 8x + 2

The given parameters are:

\mathbf{Shape = Square}

\mathbf{Perimeter = 32x + 8}

The perimeter of a square is:

\mathbf{Perimeter = 4 \times Length}

So, we have:

\mathbf{4 \times Length = 32x + 8}

Divide both sides by 4

\mathbf{Length = 8x + 2}

Hence, the length of the patio is: 8x + 2

Read more about perimeters at:

brainly.com/question/6465134

3 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)
mina [271]
 Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5
8 0
3 years ago
What is 42−{(7+14)÷7}×4
Hunter-Best [27]

Answer:

the answer is 30

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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