Reduceți termenii asemenea:
a) 5a+10a-12a-4a+5a
b) x-6x+10x-4x-3x
c)7ab-4ab+13ab+ab-10ab
d)
[tex] \frac{1}{2}xy + \frac{1}{3} xy + \frac{1}{6}xy[/tex]
e)3,5a²b+5,5a²b-7,5a²b+3,5a²b
f)
[tex] \sqrt{2}abc - 2 \sqrt{2}abc + \sqrt{2}abc[/tex]

Răspuns

Explicație pas cu pas:

a )  5 a + 10 a - 12 a - 4 a + 5 a =  4 a

      = 15 a - 16 a + 5 a =

     = - a + 5 a =

      = 4 a

_________________________

b)   x - 6 x + 10 x - 4 x - 3 x = - 2 x

= - 5 x + 10 x - 7 x =

= 5 x - 7 x =

= - 2 x

__________________________

c)   7 ab - 4 ab + 13 ab + ab - 10 ab = 7 ab

= 3 ab + 14 ab - 10 ab =

= 7 ab

__________________________

d) ( 1 / 2 ) xy + ( 1 / 3 ) xy + ( 1 / 6 ) xy = xy

= xy ( 3 / 6 + 2 / 6 + 1 / 6 ) =

= xy ·  6 / 6 =

= xy

_______________

e)  3,5 a²b + 5,5 a²b - 7,5 a²b + 3,5 a²b = 5 a²b

= a²b × ( 9 - 7,5 + 3,5 ) =

= a²b × 5 =

= 5 a²b

________________

f)

√2abc - 2√2abc + √2abc = - √2abc + √2abc = 0