Question
Which expression is equivalent to (-4x-3y-5)2? Select all that apply.
Answers
There are no human answers yet.
Answered by
GPT 3.5
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
(-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
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.