Question

1) ay^7+y^7-ay^3-y^3 разложите на множители 2)4-m^2+14mn-49n^2

Answer 1

Объяснение:

1)

$ay^{7} +y^{7} -ay^{3} -y^{3} =y^{7} (a+1) - y^{3} (a+1) = (a+1) (y^{7} -y^{3}) = \\\\y^{3}( y^{4} -1) (a+1) = y^{3} (y^{2} -1)(y^{2} +1) (a+1) = y^{3} (y-1)(y+1) (y^{2} +1) (a+1);$

2)

$4-m^{2} +14mn-49n^{2} =4-(m^{2} -14mn+49n^{2}) =2^{2} -(m-7n)^{2} =\\\\ (2-m+7n) (2+m-7n).$