Question

factorise 5m^2-10mn+5n^2-45​

Answer 1

Answer:

5m² - 10mn + 5n² - 45 = 5[(m - n + 3)(m - n - 3)]

Step-by-step explanation:

5m² - 10mn + 5n² - 45 = 5(m² - 2mn + n² - 9)

                                     By using identity: a² - 2ab + b² = (a - b)²

                                     = 5[(m - n)² - (3)²]

                                     By using identity: a² - b² = (a + b)(a - b)

                                     = 5[(m - n + 3)(m - n -3)]

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