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