1) (4a)² - (-3b)² = 16a² - 9b²
2) 16m² - n¹⁶ = (4m)² - (n⁸)² = (4m - n⁸)(4m + n⁸)= (n⁸ + 4m)(4m - n⁸)
3) (5a⁵ + 2x)(2x - 5a⁵) = (2x + 5a⁵)(2x - 5a⁵) = (2x)² - (5a⁵)² = 4x² - 25a¹⁰
4) (1 - 2a)(1 + 2a + 4a²) = 1³ - (2a)³ = 1 - 8a³
5) 217² - 216² = (217 - 216)(217 + 216) = 1 * 433 = 433
6) ![\frac{37 ^{3} -14 ^{3} }{37-14} +37*14= \frac{(37-14)(37 ^{2}+37*14+14 ^{2} ) }{37-14} +37*14=37 ^{2} +2*37*14+ \frac{37 ^{3} -14 ^{3} }{37-14} +37*14= \frac{(37-14)(37 ^{2}+37*14+14 ^{2} ) }{37-14} +37*14=37 ^{2} +2*37*14+](https://tex.z-dn.net/?f=+%5Cfrac%7B37+%5E%7B3%7D+-14+%5E%7B3%7D+%7D%7B37-14%7D+%2B37%2A14%3D+%5Cfrac%7B%2837-14%29%2837+%5E%7B2%7D%2B37%2A14%2B14+%5E%7B2%7D+%29+%7D%7B37-14%7D+%2B37%2A14%3D37+%5E%7B2%7D+%2B2%2A37%2A14%2B)
![14 ^{2} =(37+14) ^{2}=51 ^{2}=2601 14 ^{2} =(37+14) ^{2}=51 ^{2}=2601](https://tex.z-dn.net/?f=14+%5E%7B2%7D+%3D%2837%2B14%29+%5E%7B2%7D%3D51+%5E%7B2%7D%3D2601++)