Разложи ** множители (x+23y)^2−(23x+y)^2.

Question

Разложи на множители (x+23y)^2−(23x+y)^2.

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Answer 1

(x+23y)²-(23x+y)²= (x+23y-(23x+y))(x+23y+(23x+y))= (x+23y-23x-y)(x+23y+23x+y)=(-22x+22y)(24x+24y)=(-22(x-y))*24(x+y)= -22*24(x-y)(x+y)= -528(x-y)(x+y)