Question

zapisz wyrażenie w jak najprostszej postaci

a)9(6x[ kwadratowe] + 5x - 3) + (12x [kwadratowe]-18x +4):2 =

b)4x(8x+3)- (15x [kwadratowe] -30x +9):3 =

c) (12k [kwadratowe] + 8k -40 ) * 4 +(12k [kwadratowe ]+8k -40):2 =

d) (35mt +20m-55t) * 5- (35mt 20m - 55 t) :5 =

e) 18x[kwadratowe] +24x -42 18 x [kwadratowe] +24x -42

_________________________ + ________________________ +

2 3

+ 18x[kwadratowe] +24x -42

_________________________ =

6

_________ to kreska ułamkowa ;D

Answer 1

a) [18 ( 6x^2 + 5x - 3 ) + 12x^2 - 18x + 4 ] : 2 = [ 108x^2 + 90x - 54 + 12x^2 - 18x + 4 ] : 2 = [ 120x^2 + 72x - 50 ] : 2 = 60x^2 + 36x - 25

 

b) 4x ( 8x + 3 ) - ( 15x^2 - 30x + 9 ) : 3 = [ 12x ( 8x + 3 ) - 15x^2 + 30x - 9 ] : 3 = [ 96 x ^2 + 36x - 15x^2 + 30x - 9 ] : 3 = [ 81x^2 + 66x - 9 ] : 3 = 27x^2 + 22x - 3

 

c) ( 12k^2 + 8k - 40 ) * 4 + ( 12k^2 + 8k - 40 ) : 2 = ( 12k^2 + 8k - 40 ) ( 4 + 1/2 ) = 9/2 ( 12k^2 + 8k - 40 ) = 54k^2 + 36k - 180

 

d) ( 35mt + 20m - 55t ) * 5 - ( 35mt + 20m - 55t) : 5 = ( 35mt + 20m - 55t ) ( 5 - 1/5 ) = 24/25 ( 35mt + 20m - 55t) = 33,6mt + 19,2m - 52,8t

 

e) ( 18x^2 + 24x - 42 ) ( 1/2 + 1/3 + 1/6 ) = 18x^2 + 24x - 42