The expression follows the pattern of a square + 2ab + b square. Since 9x square is (3x) square and 16y square is (4y) square, we can compress it directly into (3x + 4y) square.
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We rewrite 64 as 60 + 4 to use the identity with a = 60 and b = 4. Summing the squares of 60 and 4 with their double product yields 4096.
We substitute a = 3/4 s and b = 8t into the square identity. Squaring the terms independently and simplifying the middle multiplication step gives the final plain algebraic text solution.