Answers

1. Answer:

   Step-by-step explanation:

   To find the product of each expression, we can use the distributive property to expand the terms:

   (2x – 4y)(x + 3y) = 2xx + 2x3y – 4yx – 4y3y

   = 2x^2 + 6xy – 4xy – 12y^2

   = 2x^2 – (-2xy – 12y^2)

   = 2x^2 – 2xy – 12y^2

   (x − 4)(2x − 1) = x2x + x(-1) – 42x – 4(-1)

   = 2x^2 – x – 8x + 4

   = 2x^2 – 9x + 4

   (2x – 3)(x – 1) = 2xx + 2x(-1) – 3x – 3(-1)

   = 2x^2 – x – 3x + 3

   = 2x^2 – 4x + 3

   (3x – 3y)(2x – y) = 3x2x + 3x(-y) – 3y2x – 3y(-y)

   = 6x^2 – 3xy – 6xy – 3y^2

   = 6x^2 – (-6xy – 3y^2)

   = 6x^2 – 6xy – 3y^2

   I hope this helps! Let me know if you have any questions.

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