Question
What is the product of the paranormal (x^2y+2)(x2-y)
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Answered by
GPT-4o mini
To find the product of the two expressions \((x^2y + 2)(x^2 - y)\), we can use the distributive property (also known as the FOIL method for binomials):
\[
(x^2y + 2)(x^2 - y)
\]
We'll distribute each term in the first expression to each term in the second expression:
1. \(x^2y \cdot x^2 = x^4y\)
2. \(x^2y \cdot (-y) = -x^2y^2\)
3. \(2 \cdot x^2 = 2x^2\)
4. \(2 \cdot (-y) = -2y\)
Now, we combine all these results:
\[
x^4y - x^2y^2 + 2x^2 - 2y
\]
Thus, the product \((x^2y + 2)(x^2 - y)\) is:
\[
\boxed{x^4y - x^2y^2 + 2x^2 - 2y}
\]
\[
(x^2y + 2)(x^2 - y)
\]
We'll distribute each term in the first expression to each term in the second expression:
1. \(x^2y \cdot x^2 = x^4y\)
2. \(x^2y \cdot (-y) = -x^2y^2\)
3. \(2 \cdot x^2 = 2x^2\)
4. \(2 \cdot (-y) = -2y\)
Now, we combine all these results:
\[
x^4y - x^2y^2 + 2x^2 - 2y
\]
Thus, the product \((x^2y + 2)(x^2 - y)\) is:
\[
\boxed{x^4y - x^2y^2 + 2x^2 - 2y}
\]
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