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Umnica [9.8K]
3 years ago
9

Factor the following polynomial completely.

Mathematics
2 answers:
dezoksy [38]3 years ago
6 0

Answer:  The correct option is (C) (x+2)(x-2)(x+y)(x-y).

Step-by-step explanation:  We are given to factorize the following polynomial completely :

P(x, y)=-x^2y^2+x^4+4y^4-4x^2.

We will be using the following the following factorization formula :

a^2-b^2=(a+b)(a-b).

The factorization of the given polynomial is as follows :

P(x, y)\\\\=-x^2y^2+x^4+4y^4-4x^2\\\\=x^4-x^2y^2-4x^2+4y^2\\\\=x^2(x^2-y^2)-4(x^2-y^2)\\\\=(x^2-4)(x^2-y^2)\\\\=(x^2-2^2)(x^2-y^2)\\\\=(x+2)(x-2)(x+y)(x-y).

Thus, the required factored form of the given polynomial is (x+2)(x-2)(x+y)(x-y).

Option (C) is CORRECT.

lapo4ka [179]3 years ago
3 0
I just took this question on a test and the answer was c
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3.
Sati [7]

Answer:

B

Step-by-step explanation:

(5, -1) and (-5, 2)

y=-3/10x+1/2

-1= 3/10 (5) + 1/2

-1 = -15/10 + 1/2

-1 = -1.5 + 0.5

-1 =-1

4 0
3 years ago
Find the product.
Nimfa-mama [501]

Answer:

I dont know what letter but its 12i^2+i+6

Step-by-step explanation:

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8 0
3 years ago
8x-2(xx9)=x+47. solve for x
Dafna11 [192]
18x-8x2=0

Two solutions were found :

x = 9/4 = 2.250
x = 0
Step by step solution :

Step 1 :

Equation at the end of step 1 :

18x - 23x2 = 0
6 0
3 years ago
Select all the correct answers<br> Which functions are the same as their inverse functions?
KIM [24]

Answer:

f(x)

Step-by-step explanation:

f(x)=x-1/x+5

y=x-1/x+5

xy+5y=x-1

xy-x=-1-5y

x(y-1)=1-5y

x=-1-5y/y-1

x=-5

6 0
3 years ago
Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2
andrey2020 [161]

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

7 0
3 years ago
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