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Answer» -step explanation:(5p - 1)²Comparing ( 5p - 1 )² with (a - b)² we have a = 5 and b = 1(a - b)² = a² - 2ab + b²(5p - 1)² = (5p)² - 2(5)(1) + (1)² = 5²p² - 10p + 1 = 25p² - 10p + 1 ____________ (2n - 1)(2n + 3)Comparing (2n - 1)(2n + 3) with (x + a) (x + b) we have a = -1 and b = 3(2n + 1) (2n + 3) = (2n)² + (-1 + 3) 2n + (-1)(3) = 2²n² + 2(2n) - 3 = 4n² + 4n -3 _________4p² − 25q² Comparing 4p² − 25q² with (a²- b²) = (a - b) (a + b) we have a = 4 and b = 25(4p² − 25q²) = (4P - 25Q) (4p + 25q) = 16p² + 100pq - 100pq - 625q² = 16p² - 625q² ____________ |
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