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Which expression is equivalent to (-4x-3y-5)2? Select all that apply.

1 answer

The expression (-4x-3y-5)² can be simplified by multiplying each term in the parentheses by itself and then adding them together.

(-4x-3y-5)² = (-4x-3y-5)(-4x-3y-5)

Expanding the expression we get:

(-4x-3y-5)(-4x-3y-5) = (-4x)(-4x) + (-4x)(-3y) + (-4x)(-5) + (-3y)(-4x) + (-3y)(-3y) + (-3y)(-5) + (-5)(-4x) + (-5)(-3y) + (-5)(-5)

Simplifying this expression we get:

16x² + 12xy + 20x + 12xy + 9y² + 15y + 20x + 15y + 25

Therefore, the simplified expression is:

16x² + 24xy + 9y² + 35y + 45

Therefore, the correct answer is:

16x² + 24xy + 9y² + 35y + 45
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