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Question

The area of a rectangle is

25a416b225 a ^ { 4 } - 16 b ^ { 2 }

Which factors could represent the length times width?

F (5a2+4b)(5a2+4b)G (5a2+4b)(5a24b)H (5a4b)(5a4b)J (5a+4b)(5a4b)F \ \left( 5 a ^ { 2 } + 4 b \right) \left( 5 a ^ { 2 } + 4 b \right) \\ G \ \left( 5 a ^ { 2 } + 4 b \right) \left( 5 a ^ { 2 } - 4 b \right) \\ H \ ( 5 a - 4 b ) ( 5 a - 4 b ) \\ J \ ( 5 a + 4 b ) ( 5 a - 4 b )

Solution

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In this problem, we are tasked to determine the length and with of the rectangle given that its area is equal to 25a416b225a^4-16b^2.

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