Сократите дробь 1) x^2-2x+1/x^2-1 2) 3a^2-6ab+3b^2/6a^2-6b^2 3) 5m^2+10mn+5n^2/15m^2-15n^2

Question

Сократите дробь
1) x^2-2x+1/x^2-1
2) 3a^2-6ab+3b^2/6a^2-6b^2
3) 5m^2+10mn+5n^2/15m^2-15n^2

Answer 1

1) x-1/x+1
2) a+b/2(a-b)
3) m+n/3(m-n)

Comments

1) (x-1)(x-1)/(x+1)(x-1)=x-1/x+1

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2)3(a^2-2ab+b^2)/6(a^2-b^2)=a^2-2ab+b^2/2(a^2-b^2)=(a+b)(a+b)/2(a+b)(a-b)=a+b/2(a-b)

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3)5(m^2+2mn+n^2)/15(m^2-n^2)=(m+n)(m+n)/3(m+n)(m-n)=m+n/3(m-n)