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Novosadov [1.4K]
3 years ago
10

Use the difference of squares pattern to factor the polynomial.x2 − 16y2 how would I do this

Mathematics
1 answer:
love history [14]3 years ago
6 0
The general rule for difference of two squares is that when factorised it can be written in the form (a+b)(a-b) where a is the square root of the first part of the function and b is the square root of the second part of the function.
From this we can find the square root of x² to find a and the square root of 16y² to find b.
In this case √x²=x and √16y²=4y
Therefore fully factorised it can be written as (x+4y)(x-4y)
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Shkiper50 [21]

Step-by-step explanation:

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7 0
3 years ago
PLEASE ANSWER FAST!!!
Ilya [14]
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On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime. I
zheka24 [161]

Answer:

(x, y) ⟶ (x + 4, y + 2)  

Step-by-step explanation:

If you shift a point four units to the right, x ⟶ x + 4.

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If you combine the two shifts into one transformation, the rule becomes

(x, y) ⟶ (x + 4, y + 2)

3 0
3 years ago
(N^3 - N^4) - (3n^3- 7n^4)
Free_Kalibri [48]
If you would like to solve (n^3 - n^4) - (3n^3 - 7n^4), you can do this using the following steps:

(n^3 - n^4) - (3n^3 - 7n^4) = <span>n^3 - n^4 - 3n^3 + 7n^4 = n^3 - 3n^3 - n^4 + 7n^4 = -2n^3 + 6n^4
</span>
The correct result would be <span>-2n^3 + 6n^4.</span>
3 0
3 years ago
A cube has a side length of x feet. Which expression represents the surface area of the cube?
alexdok [17]
The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units

8 0
3 years ago
Read 2 more answers
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