Zamień sumę na iloczyn:
a) 16x^2 - 40xy + 25y^2 =
b) 100a^2 - 81b^2m^2 =
c) 7m - 4(pierwiastek) z 7 mk + 4k^2 =
a) 16x^2 - 40xy + 25y^2 = (4x)² - 2 * 4x * 5y + (5y)² = (4x - 5y)² = (4x - 5y)(4x - 5y)
b) 100a^2 - 81b^2m^2 =(10a)² - (9bm)² = (10a - 9bm)(10a + 9bm)
c) 7m^2 - 4√7mk + 4k^2 = (√7m)² - 2 * √7m * 2k + (2k)² = (√7m - 2k)² = (√7m - 2k)(√7m - 2k)
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a) 16x^2 - 40xy + 25y^2 = (4x)² - 2 * 4x * 5y + (5y)² = (4x - 5y)² = (4x - 5y)(4x - 5y)
b) 100a^2 - 81b^2m^2 =(10a)² - (9bm)² = (10a - 9bm)(10a + 9bm)
c) 7m^2 - 4√7mk + 4k^2 = (√7m)² - 2 * √7m * 2k + (2k)² = (√7m - 2k)² = (√7m - 2k)(√7m - 2k)