Question

factor the trinomial.

\\5x^3 y + 27x^2 y^2 + 28xy^3 = \\

Explanation:

Factor out the greatest common factor

$$ 5x^3y + 27x^2y^2 + 28xy^3 = xy(5x^2 + 27xy + 28y^2) $$

Factor the remaining quadratic trinomial

$$ 5x^2 + 27xy + 28y^2 = (5x + 7y)(x + 4y) $$

Combine all factored components

$$ 5x^3y + 27x^2y^2 + 28xy^3 = xy(5x + 7y)(x + 4y) $$

Answer:

Factor the trinomial.

$$5x^3y + 27x^2y^2 + 28xy^3 =$$

<blank>\(xy(5x + 7y)(x + 4y)\)</blank>