Question

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

Answer 1

27x²y - 43xy²

xy(27x - 43y)

Answer 2

`27x^2y - 43xy^2=xy(27x-43y)`

Explanation:

`27x^2y - 43xy^2`

To factor the given expression we need to find out GCF

`27x^2y= 3 \cdot 3 \cdot 3 \cdot x \cdot x \cdot y`

`43xy^2= 43 \cdot 3 \cdot 3 \cdot x \cdot y \cdot y`

GCF is xy

LEts factor out xy

`27x^2y - 43xy^2=xy(27x-43y)`