Разложите многочлен на множители:
а) $49 - (m - 3)^2$;
б) $400 - (a + 9)^2$;
в) $625 - (n + 12)^2$;
г) $121 - (b - 13)^2$.
$49 - (m - 3)^2 = 7^2 - (m - 3)^2 = (7 - (m - 3))(7 + m - 3) = (7 - m + 3)(4 + m) = (10 - m)(4 + m)$
$400 - (a + 9)^2 = 20^2 - (a + 9)^2 = (20 - (a + 9))(20 + a + 9) = (20 - a - 9)(29 + a) = (11 - a)(29 + a)$
$625 - (n + 12)^2 = 25^2 - (n + 12)^2 = (25 - (n + 12))(25 + n + 12) = (25 - n - 12)(37 + n) = (13 - n)(37 + n)$
$121 - (b - 13)^2 = 11^2 - (b - 13)^2 = (11 - (b - 13))(11 + b - 13) = (11 - b + 13)(b - 2) = (24 - b)(b - 2)$
Пожауйста, оцените решение
