Разложите на множители: 1) 25x^2 - (x+y)^2 2) 100- (3a+7y)^2 3) 1-(a^2+b^2)^2

[latex]25x^2 - (x+y)^2 = (5x)^2 - (x+y)^2 = [/latex][latex] = ((5x)-(x+y))*((5x)+(x+y)) =(5x-x-y)*(5x+x+y)= \\ = (4x-y)*(6x+y) [/latex] [latex]100-(3a+7y)^2 = 10^2-(3a+7y)^2 = (10-3a-7y) (10+3a+7y)[/latex] [latex]1-(a^2+b^2)^2=1^2-(a^2+b^2)^2=(1-(a^2+b^2))(1+(a^2+b^2))=\\\\=(1-a^2-b^2)(1+a^2+b^2) [/latex]