25(a-5b)²-4(a-3b)²

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Solution

25(a -5b)² - 4(a- 3b)²
= (5(a -5b))² - (2(a- 3b))²
Applying, a²- b² = (a+b)(a-b)
(5(a -5b))² - (2(a- 3b))² = (5(a -5b) + (2(a- 3b))(5(a -5b) - (2(a- 3b)
=(5a -25b +2a -6b)(5a -25b -2a+6b)
=(7a -31b)(3a -19b)

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25(a-5b)²-4(a-3b)²

25(a -5b)² - 4(a- 3b)² = (5(a -5b))² - (2(a- 3b))² Applying, a²- b² = (a+b)(a-b) (5(a -5b))² - (2(a- 3b))² = (5(a -5b) + (2(a- 3b))(5(a -5b) - (2(a- 3b) =(5a -25b +2a -6b)(5a -25b -2a+6b) =(7a -31b)(3a -19b)

25(a -5b)² - 4(a- 3b)²
= (5(a -5b))² - (2(a- 3b))²
Applying, a²- b² = (a+b)(a-b)
(5(a -5b))² - (2(a- 3b))² = (5(a -5b) + (2(a- 3b))(5(a -5b) - (2(a- 3b)
=(5a -25b +2a -6b)(5a -25b -2a+6b)
=(7a -31b)(3a -19b)