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Question

# The area of a rectangle is$25 a ^ { 4 } - 16 b ^ { 2 }$Which factors could represent the length times width?$F \ \left( 5 a ^ { 2 } + 4 b \right) \left( 5 a ^ { 2 } + 4 b \right) \\ G \ \left( 5 a ^ { 2 } + 4 b \right) \left( 5 a ^ { 2 } - 4 b \right) \\ H \ ( 5 a - 4 b ) ( 5 a - 4 b ) \\ J \ ( 5 a + 4 b ) ( 5 a - 4 b )$

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 $25a^4-16b^2$.

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