Question

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

Answer 1

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