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Step-by-step explanation:
(5p - 1)²
Comparing ( 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
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(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
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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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Answer:
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