Question

Разложите на множители многочлен: x+7x^2-y-7y^2

Answer 1

$<var>x+7x^2-y-7y^2 = x - y + 7x^2 - 7y^2 = (x-y) - 7(x^2-y^2) =\\\\ (x-y) + 7(x-y)(x+y) = (x-y)(1+7(x+y)) = \\\\\fbox{(x-y)(1+7x+7y)} </var>$