Question

Simplificar una expresión algebraica.

a) 4(x+ 2) – 3{2x + [4(x – 4) – 2(2x – 3)]}
b) 3a – 3{b – 4[c + 2(a – b + 3c) – (a + 5c – 2b]}
c) 3{5(2a – b) – [4(b – 3a) – 3(2a + 5b)]}

Answer 1

Espero haberte ayudado

Answer 2

a) 4(x+ 2) – 3{2x + [4(x – 4) – 2(2x – 3)]}=
4(x+ 2) – 3{2x + [4x-16-4x+6]}
4(x+ 2) – 3{2x +4x-16-4x+6}
4(x+2)-6x-12x+48+12x-18
4x+8-6x-12x+48+12x-18=
4x-6x-12x+12x=-2x
8+48-18=38
=-2x+38

b)3a – 3{b – 4[c + 2(a – b + 3c) – (a + 5c – 2b]}=
3a – 3{b – 4[c +2a-2b+6c-a-5c+2b]}=
3a-3{b-4c-8a+8b-24c+4a-20c-10b}
3a-3b+12c+24a-24b+72c-12a+60c+30b=
3a+24a-12a=-33a
-3b-24b+30b=3b
12c+72c+60c=144c
=-33a+3b+144c

c)3{5(2a – b) – [4(b – 3a) – 3(2a + 5b)]}
3{5(2a – b) –[4b-12a-6a-15b]}
3{5(2a-b)-4b+12a+6a+15b}
3{10a-5b-4b+12a+6a+15b}
30a-15b-12b+36a+18a+45b=
30a+36a+18a=84a
-15b-12b+25b=-2b
=84a-2b