Question

UPROŚĆ WYRAŻENIA :

A)3(4x-2)²+5(3x+2)²-(x²-2x+5)

B) (2x-1)(2x+1)-3(x-3)(x+3)

C) -(a+2b)³+(3a+b)³

D) -(2a+5)³-2(3a-b)³+4(a+b)³

E) (x-y)³+(x+y)³-2(x-y)³+3(x+y)³

+naj :)

Answer 1

A)   48x²-48x+12x+45x²+180x+20-x²+2x-5= -93x²+134x+27

B)  4x²-1-3x²+27

C)a²+12ab+12b²+27a²+18ab+b² 

Answer 2

A)3(4x-2)²+5(3x+2)²-(x²-2x+5)=3(16x²-16x+4)-x²+2x-5=48x²-48x+12-x²+2x-5

=47x²-46x+7

B) (2x-1)(2x+1)-3(x-3)(x+3)=4x²-1-3(x²-9)=4x²-1-3x²+27

C) -(a+2b)³+(3a+b)³=-(a+2b)(a+2b)(a+2b)+(3a+b)(3a+b)(3a+b)=-(a³+4a²b+8ab²+8b³)

+27a³+18a²b+6ab²+b³=-a³-4a²b-8ab²-8b³+27a³+18a²b+6ab²+b³=26a³+14a²b-2ab²-7b³

D) -(2a+5)³-2(3a-b)³+4(a+b)³=-(2a+5)(2a+5)(2a+5)-2(3a-b)(3a-b)(3a-b)

+4(a+b)(a+b)(a+b)=-(8a³+40a²+40a+125)-2(27a³-18a²b+6ab²-b³)+4(a³+2a²b+2ab²+b³)=

-8a³-40a²-40a-125-54a³+36a²b-12ab²+2b³+4a³+8a²b+8ab²+4b³=-58a³-40a²-40a-125+44a²b-4ab²+6b³

E) (x-y)³+(x+y)³-2(x-y)³+3(x+y)³=(x-y)(x-y)(x-y)+(x+y)(x+y)(x+y)-2(x-y)(x-y)(x-y)

+3(x+y)(x+y)(x+y)=x³-2x²y+2xy²-y³+x³+2x²y+2xy²+y³-2(x³-2x²y+2xy²-y³)+3(x³+2x²y+2xy²+y³)=x³-2x²y+2xy²-y³+x³+2x²y+2xy²+y³-2x³+4x²y-4xy²+y³+3x³+6x²y+6xy²+3y³=3x³+10x²y+6xy²+4y³