Даю 100 балів чесно! Спростіть вирази 1) (a + 2) ² - (a - 3) (a +3) - 4 (a - 5) = 2) (b + 8) (b - 8) - (b + 8)² = 3) (2m - 5)² - 4 (m - 7) (m +7) =

[latex]( \alpha - \beta )( \alpha + \beta )= \alpha ^2- \beta ^2 \\\ ( \alpha \pm \beta )^2= \alpha ^2\pm2 \alpha \beta + \beta ^2[/latex] [latex](a+2)^2-(a-3)(a+3)-4(a-5)= \\\ =a^2+4a+4-a^2+9-4a+20=33[/latex] [latex](b + 8) (b - 8) - (b + 8)^2=b^2-64-b^2-16b-64=-16b-128[/latex] [latex](2m - 5)^2 - 4 (m - 7) (m +7) =4m^2-20m+25-4(m^2-49)= \\\ =4m^2-20m+25-4m^2+196=-20m+221[/latex]