Question

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

Answer 1

Answer:

The answer is option c

Step-by-step explanation:

Product means we have to multiply

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

You then group like terms

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

And there's your answer