Mathematics: Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?

600km. Because 100 kilometers an hour times 6 equals a distance of 600km....

Which is equivalent to (9 y squared minus 4 x)(9

Tcutety

29.01.2022

$(9y^2-4x)\,(9y^2+4x)=81y^4-16x^2$

and it is the special factor product that leads to a difference of squares

Step-by-step explanation:

The product: $(9y^2-4x)\,(9y^2+4x)$

is a product of the form:

$(a-b)\,(a+b) = a^2-b^2$

which leads as shown to a difference of squares. So they binomials (a-b) and (a+b) are the factors of the difference of squares a^2-b^2 .

In our case, the product:

$(9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2$

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