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Select all expressions that are equivalent to 8(x + 5y).

(8x + 5y)
(8x + 137
4(2x + 10)
2(4x + 20y)

1 Answer

5 votes

Final answer:

To find the equivalent expressions, expand and multiply the given expression step by step.

Step-by-step explanation:

The given expression is 8(x + 5y)(8x + 5y)(8x + 1374(2x + 10)2(4x + 20y).

To find the equivalent expressions, we can simplify the expression step by step.

  1. Expand the expression 8(x + 5y) which gives 8x + 40y.
  2. Now multiply this with (8x + 5y) which gives (8x + 40y)(8x + 5y) = 64x^2 + 400xy + 40xy + 200y^2 = 64x^2 + 440xy + 200y^2.
  3. Next, multiply this with (8x + 1374(2x + 10)2(4x + 20y): (64x^2 + 440xy + 200y^2)(8x + 1374(2x + 10)2(4x + 20y) = ...

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