How do you factor 2x^4 - 2y^4

1 answer:

7 0

First factor out 2

2(x^4 - y^4)

Rewrite it as ((x^2)^2) and ((y^2)^2)

Then you get..

2 ((x^2)^2) - (y^2)^2))

Now both terms are perfect squares, factor using the difference of squares formula, a^2 + b^2 = (a+b)(a-b)

a= x^2 and b= y^2

2((x^2 + y^2)(x+y)(x-y))

clean it up!

2(x^2 + y^2)(x+y)(x-y)

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If you have trouble with this, an easy way to find this answer is simply creating the linear system that represents the problem, (he will buy 3 times more school clothes than gym clothes) s ≥ 3g and plug in each variable from the answer choices until you find the variables that make the linear system true.

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The difference of the fraction is $\mathbf{ -\dfrac{3}{4}}$ by using equivalent expressions.

<h3>What is a number line?</h3>

A number line is a diagrammatic representation of real numbers on the graduated line. It ranges from negative axis to positive axis with 0 being the center position.

A sketch showing the representation of the difference in the mixed fractions can be seen in the image attached below.

Using equivalent expressions to determine the difference between the mixed fractions, we have;

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