How do you factor #768x^4-3y^4#?

Answer 1

#3(4x-y)(4x+y)(16x^2 + y^2)#

Algebraic identity:

#(a+b)(a-b) = a^2-b^2#
Factorise out the common factors in # 768x^4-3y^4 #.
#768x^4-3y^4 = 3(256x^4-y^4)#

You can write

#256x^4 - y^4 = (16x^2)^2 - (y^2)^2 = (16x^2 - y^2)(16x^2 + y^2)#

You can write

#16x^2 - y^2 = (4x)^2 - y^2 = (4x-y)(4x+y)#

Put this back together to get

#768x^4 - 3y^4 = 3(4x-y)(4x+y)(16x^2 + y^2)#
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Answer 2

To factor the expression 768x^4 - 3y^4, first, factor out the greatest common factor, which is 3. Then, recognize that this is a difference of squares, so apply the formula for factoring a difference of squares: a^2 - b^2 = (a + b)(a - b). The factored expression is 3(16x^2 + y^2)(48x^2 - y^2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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