Алгебра. 7 класс, карточка. ​

1.

а) 2x²/14x = x/7

б) 2x-8/3x-12 = 2(x-4)/3(x-4) = 2/3

в) 14a/21ab = 2/3b

г) 8m²n/12mn² = 2m/3n

д) 4m-4n/8mn = 4(m-n)/8mn = m-n/2mn

е) 12ab/6a-6b = 12ab/6(a-b) = 2ab/a-b

ж) x²-4/(x-2)² = (x-2)(x+2)/(x-2)² = x+2/x-2

з) 2x-1/(2x-1)² = 1/2x-1

и) 12ab(x-1)/24a(1-x) = b(x-1)/-2(x-1) = -b/2

2.

а) 5/3x и 7/6

10/6x и 7x/6x

б) 2/5x и 1/20x

8/20x и 1/20x

в) 4/x-6 и x/2x-12

8/2x-12 и x/2x-12

г) 4/x-6 и x/6-x

4/x-6 и -x/x-6

д) x/x+5 и 5/x²-25

x²-5x/x²-25 и 5/x²-25

е) x/4x+x² и 4/3x+12

x/x(4+x) и 4/3(x+4)

3x/3x(4+x) и 4x/3x(4+x)

3x/12x+3x² и 4x/12x+3x²

ж) x/1-x² и x/x+1

x/1-x² и x(x-1)/1-x²

x/1-x² и x²-x/1-x²

з) 2/x²+4x+4 и x/x+2

2/(x+2)² и x(x+2)/(x+2)²

2/(x+2)² и x²+2x/(x+2)²

Объяснение:

В фото