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What is the product of (3x - 4y) and (- 2x + 5y - 6)?

A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y

1 Answer

4 votes

Answer:

The answer is option c

Explanation:

Product means we have to multiply


(3x - 4y) * ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^(2) + 15xy - 18x + 8xy - 20y { }^(2) + 24

You then group like terms


- 6x {}^(2) + 15xy + 18xy - 20y {}^(2) + 24 \\ 6x {}^(2) + 23xy - 20y {}^(2) + 24

And there's your answer

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