Question

What is the factored form of the polynomial 27x2y – 43xy2?

xy(27x – 43y)
x2y2(27 – 43)
3xy(9x – 17y)
3x2y(9 – 14y)

Answer 1

To factor the polynomial \(27x^2y - 43xy^2\), we can first look for common factors in the terms.

Both terms have a common factor of \(xy\). We can factor this out:

\[
27x^2y - 43xy^2 = xy(27x - 43y)
\]

So, the factored form of the polynomial is:

\[
xy(27x - 43y)
\]

The correct answer is:
**\(xy(27x - 43y)\)**.