find the continued product using the identities (5a - 2b) (5a+2b) (25a2 - 4b2)
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(5a-2b)(5a+2b)(25a^2-4b^2)
=(25a^2-4b^2)(25a^2-4b^2)
=625a^4+16b^4-200a^2b^2
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Answered by
11
Find the continued product using the identities:
(5a - 2b) (5a+2b) (25a² - 4b²)
The continued product.
(a-b)(a+b) = (a²+b²)
(5a - 2b) (5a + 2b) (25a² - 4b²)
(5a - 2b) (5a + 2b)
= {(5a)² - (2b)²}
= (25a² - 4b²)
(25a² - 4b²) (25a² - 4b²)
= 25a²(25a²-4b²)-4b²(25a² - 4b²)
= 625a²-100a²b²-100a²b²-16b⁴
= 625a²-200a²b²-16b²
(5a - 2b) (5a + 2b) (25a² - 4b²)
= 625a²-200a²b²-16b²
The value of {(5a - 2b) (5a + 2b) (25a² - 4b²)} is 625a²-200a²b²-16b².
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