# Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form. (-2x-3y)(3x+2y)

Multiply the polynomials using the FOIL method. Express your answer as a single polynomial in standard form.
$\left(-2x-3y\right)\left(3x+2y\right)$
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StrycharzT
FOIL method is first, outer, inner, last.
The given polynomial is,
$\left(-2x-3y\right)\left(3x+2y\right)$
Opening the bracket to solve the equation as,
$\left(-2x-3y\right)\left(3x+2y\right)=-2x×3x-2x×2y-3y×3x-3y×2y$
$=-6{x}^{2}-4xy-9xy-6{y}^{2}$
After separating the terms, the final product of the polynomials will be,
$\left(-2x-3y\right)\left(3x+2y\right)=-6{x}^{2}-12xy-6{y}^{2}$