Question

1.Zapisz wyrażenie w najprostszej postaci.

a) (2a - 3) (4 - a) - ( 3 - 5a) (a + 2)

b) (2a+3b)(b + 2a - 3) + (a + 3b + 1)(2b - 5a)

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

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

Answer 1

A) (2a - 3) (4 - a) - ( 3 - 5a) (a + 2)= 8a-2a2 (dwa do kwadratu)-12+3a -3a2 (dwa do kwadratu) - 10a = 11a - 5a2(dwa do kwadratu)-12
 
b) (2a+3b)(b + 2a - 3) + (a + 3b + 1)(2b - 5a)=2ab+4a2(dwa do kwadratu)-6a+3b2(dwa do kwadratu)+6ab-9b+6ab-9b+2ab+5a2(dwa do kwadratu)+6b2(dwa do kwadratu)-15ab-5a=-7ab+10a2(dwa do kwadratu)-a-3b2(dwa do kwadratu)

c) 3(2a - 1)(1 + 3a) - 2(a - 4) ( a -3)=6a+6a-3-9a-2a2(dwa do kwadratu) +6a -8a2(dwa do kwadratu)+24a=33a-3-10a2(dwa do kwadratu)

d) -(a - 1)(a +2 ) - (a - 3)(4 - a) = -a2(dwa do kwadratu) - 2a +a +2-4a-a2(dwa do kwadratu)-12+3a = -a2(dwa do kwadratu) - 5a-10-a2(dwa do kwadratu)