Question

Разложение многочлена на множители

Answer 1

а)
$5a + 5b + xa + xb = 5(a + b) + x(a + b) = (a + b)(5 + x)$
б)
$10x - 10y + ax - ay = 10(x - y) + a(x - y) = (x - y)(10 + a)$
в)
$ax + bx - ay - by = x(a + b) - y(a + b) = (a + b)(x - y)$
г)
${x}^{4} + {x}^{3} + {x}^{2} + x = {x}^{3} (x + 1) + x(x + 1) = (x + 1)( {x}^{3} + x) = x(x + 1)( {x}^{2} + 1)$