Представьте в виде произведения:
а) $ac^2 - ad + c^3 - cd - bc^2 + bd$;
б) $ax^2 + ay^2 - bx^2 - by^2 + b - a$;
в) $an^2 + cn^2 - ap + ap^2 - cp + cp^2$;
г) $xy^2 - by^2 - ax + ab + y^2 - a$.
$ac^2 - ad + c^3 - cd - bc^2 + bd = (ac^2 - bc^2 + c^3) - (ad - bd + cd) = c^2(a - b + c) - d(a - b + c) = (c^2 - d)(a - b + c)$
$ax^2 + ay^2 - bx^2 - by^2 + b - a = (ax^2 + ay^2 - a) - (bx^2 + by^2 - b) = a(x^2 + y^2 - 1) - b(x^2 + y^2 - 1) = (x^2 + y^2 - 1)(a - b)$
$an^2 + cn^2 - ap + ap^2 - cp + cp^2 = (an^2 - ap + ap^2) + (cn^2 - cp + cp^2) = a(n^2 - p + p^2) + c(n^2 - p + p^2) = (n^2 - p + p^2)(a + c)$
$xy^2 - by^2 - ax + ab + y^2 - a = (xy^2 - by^2 + y^2) - (ax - ab + a) = y^2(x - b + 1) - a(x - b + 1) = (x - b + 1)(y^2 - a)$
Пожаулйста, оцените решение
