Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

1 answer:

7 0

This is an example of the difference of squares.

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

So to find the product of (9y² – 4x)(9y² + 4x), we use the formula for the difference of squares.

 $(9y^2 - 4x)(9y^2 + 4x)\\\\=(9y^2)^2 -(4x)^2\\\\=\boxed{\bf{81y^4 - 16x^2}}$

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Simplify this expression, you are y years old. Your sister is 3 years older than you. Your uncle is 4 times older than your sist

uysha [10]

Answer:The simplified expression that represents the uncle's age is

4y + 12

Step-by-step explanation:

Let y represent your age.

Your sister is 3 years older than you. This means that your sister's age is y + 3

Your uncle is 4 times older than your sister. It means that the age of your uncle would be

4(y + 3)

The simplified expression that represents your uncle's age would be

4y + 12