7x^4 - 6x^2y^2 - y^4
x^4 - 2x^2y^2 + y^4
show your full work please. If you can include explanation how you got it, please do include it.
I will give 10 points to that person.
x^4 - 2x^2y^2 + y^4
show your full work please. If you can include explanation how you got it, please do include it.
I will give 10 points to that person.
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= 7x⁴ - 6x²y² - y⁴
= (7x² + y²)(x² - y²)
= (7x² + y²)(x + y)(x - y)
Answer: (7x² + y²)(x + y)(x - y)
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= x⁴ - 2x²y² + y⁴
= (x² - y²)(x² - y²)
= (x + y)(x - y)(x + y)(x - y)
Answer: (x + y)²(x - y)²
= (7x² + y²)(x² - y²)
= (7x² + y²)(x + y)(x - y)
Answer: (7x² + y²)(x + y)(x - y)
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= x⁴ - 2x²y² + y⁴
= (x² - y²)(x² - y²)
= (x + y)(x - y)(x + y)(x - y)
Answer: (x + y)²(x - y)²
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1. 7x^4 - 6x^2y^2 - y^4
look for factors of 7x^4 and look for factors of y^4
take note that the sum of the factors must be -6x^2y^2
( 7x^2 + y^2) ( x^2 - y^2)
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2. x^4 - 2x^2y^2 + y^4
(x^2 - y^2) (x^2 - y^2) same procedure as the first one
Since (x^2 - y^2) (x^2 - y^2) are still factorable (difference between two squares)
(x-y)(x+y)(x-y)(x+y)
look for factors of 7x^4 and look for factors of y^4
take note that the sum of the factors must be -6x^2y^2
( 7x^2 + y^2) ( x^2 - y^2)
--------------------------------------…
2. x^4 - 2x^2y^2 + y^4
(x^2 - y^2) (x^2 - y^2) same procedure as the first one
Since (x^2 - y^2) (x^2 - y^2) are still factorable (difference between two squares)
(x-y)(x+y)(x-y)(x+y)