Question

zad. 1

Usuń nawiasyt i wykonaj redukcję wyrazów podobnych

a) (a - 2) (a + 3) + (7 - a)(4a - 1)

b) (b - 1)(3b + 2) - (4b - 3)(b + 8)

c) 2t(E - 5t)(t - 1) - (3t + 1) *

* - to potęga do 2

d) (2m - p)( m + p) + (3m + p)(p - 3m)

e( 5(1/2p - q) (1/2p + q) - (1/2q + p)(1/5q + p)

f) ( 1/3x + y)(1/3x - y) - 3(x - y) - 3(x + 2y)(y - 2x)

1/2 - to jedna druga

1/3 - jedna trzecie

1/5 - jedna piąta

Answer 1

a)  (a - 2) (a + 3) + (7 - a)(4a - 1) = a * + 3a - 2a - 6 + 28 a - 7 - 4a* + a = -3a* +30a - 13

* do potegi 2

b) (b - 1)(3b + 2) - (4b - 3)(b + 8) = 3b* + b - 3b - 2 - ( 4b* + 32 b - 3b - 24 ) = 3b* + b - 3b - 2 - 4b* - 32 b + 3b + 24 = - b * - 31 b + 22

* - do potegi 2 .

c) 2t(E - 5t)(t - 1) - (3t + 1) * = 2t ( Et -E - 5t* + 5 t ) - (9t* + 6t +1 )

= 2Et* - 2Et - 10 t ** + 10 t * - 6 t - 1

** - do potegi 3

* do potegi

 

d) (2m - p)( m + p) + (3m + p)(p - 3m)

= 2 m * + 2mp - mp - p * + 3mp - 9 m * + p* - 3mp = - 7 m * + mp .