To factor the polynomial 27x²y + 43xy², we start by identifying the common factors in both terms. Here, we notice that both terms have ‘xy’ as a common factor.
Let’s rewrite the polynomial by factoring out ‘xy’:
27x²y + 43xy² = xy(27x + 43y)
Now we have factored the polynomial into its simplest form.
The factored form of the polynomial 27x²y + 43xy² is therefore:
xy(27x + 43y)