If 25 x 2 − k = (5 x + 2)(5 x − 2), then what is the value of k?
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Answer:
k = 4
Step-by-step explanation:
25x² - k = (5x + 2)(5x - 2)
25x² - k = (5x)² - (2)² [∵ (a + b)(a - b) = a² - b²]
25x² - k = 25x² - 4
-k = -4 [When 25x² is transposed, it gets cancelled]
∴k = 4
Hence, the value of k = 4
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