Question

a² + 2ab + b² a²-b² x² - 2x + 1 x² - 1 3) 4) 3a²-6ab+3b² 6a²-6b² 5m² +10mn + 5n² 15m² - 15²​

Answer 1

Объяснение:

${a}^{2} + 2ab + {b}^{2} = (a + b)^{2}$

${a}^{2} - {b}^{2} = (a - b)(a + b)$

${x}^{2} - 2x + 1 = (x - 1)^{2}$

${x}^{2} - 1 = (x - 1)(x + 1)$

$3 {a}^{2} - 6ab + 3 {b}^{2} = ( \sqrt{3} a - \sqrt{3} b)^{2}$

$6 {a}^{2} - 6 {b}^{2} = ( \sqrt{6} a - \sqrt{6} b)( \sqrt{6} a + \sqrt{6} b)$

$5 {m}^{2} + 10mn + 5 {n}^{2} = ( \sqrt{5} m + \sqrt{5} n)^{2}$

$15 {m}^{2} - {15}^{2} = ( \sqrt{15} m - 15)( \sqrt{15} m + 15)$