Разложите на множители: а) (a+b)(a-b)-(a+b)^2, б) b^2(a+1)-a^2(b+1). Created by lizasudnicyna1. algebra-ru

Разложите на множители: а) (a+b)(a-b)-(a+b)^2, б) b^2(a+1)-a^2(b+1)...

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Разложите на множители: а) (a+b)(a-b)-(a+b)^2, б) b^2(a+1)-a^2(b+1)

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litanalove A) (a +b)(a -b) -(a +b)² =(a +b)(a -b -(a +b)) =(a +b)(a -b -a -b) = -2b(a +b)

b) b²(a +1) -a²(b +1) =ab² +b² -a²b -a² =(ab² -a²b) +(b² -a²) =ab(b -a) +(b -a)(b +a) =(b -a)(ab +b +a)

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