Question

1. Efectuati reducerea termenilor asemenea:

a) (3a+4b-2c)+(-5a-6b+4c)-(4a-7b-5c)
b) (5x-3a+2b)-(4x-5a+6b)-(7a-6x-5b)

(OPTIONAL) 2. Efectuati:

a) 7x²+11x²-13x²-16x²+18x²
b) 2x³+5x³-12x³+15x³+(19x³-27x³)
c) -9a²+14a²+(12a²+5a²)-(-8a²+21a²)
d) (19x²-7x²-15x²)-(24x²-9x²)

Answer 1

Răspuns:

Explicație pas cu pas:

1. a)

( 3 a + 4 b - 2 c ) + ( - 5 a - 6 b + 4 c ) - ( 4 a - 7 b - 5 c )=

= 3 a + 4 b - 2 c - 5 a - 6 b + 4 c - 4 a + 7 b + 5 c =

= ( 3 a - 5 a - 4 a ) + ( 4 b - 6 b + 7 b ) + ( - 2 c + 4 c + 5 c ) =

= - 6 a + 5 b + 7 c

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b)

( 5 x - 3 a + 2 b ) - ( 4 x - 5 a + 6 b ) - ( 7 a - 6 x - 5 b )=

= 5 x - 3 a + 2 b - 4 x + 5 a - 6 b - 7 a + 6 x + 5 b =

= ( 5 x - 4 x + 6 x ) + ( - 3 a + 5 a - 7 a ) + ( 2 b - 6 b + 5 b ) =

= 7 x - 5 a + b

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2)

a) 7 x² + 11 x² - 13 x² - 16 x² + 18 x²  =

= 18 x² - 29 x² + 18 x² =

= - 29 x²

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b)  2 x³ + 5 x³ - 12 x³ + 15 x³ + ( 19 x³- 27 x³ ) =

= 10 x ³ - 8 x³ =

= 2 x³

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c)   - 9 a² + 14 a² + ( 12 a² + 5 a² ) - ( - 8 a² + 21 a² ) =

= 5 a² + 17 a² - 13 a² =

= 22 a² - 13 a² =

= 9 a²

_______________________

d)  ( 19 x² - 7 x² - 15 x² ) - ( 24 x² - 9 x² ) =

= ( 12 x² - 15 x² ) - 15 x² =

= - 3 x² - 15 x² =

= - 18 x²