Question

Sendo:
A= x - 3
B = x - 2
C = x + 1
D = x + 4

calcule:

a) AB + C
b) A + CD
c) BD + C
d) ABC

Answer 1

A = X - 3
B = X - 2
C = X + 1
D = X + 4

AB + C = ( X - 3)(X - 2) + X + 1=  x² - 2x - 3x + 6 + x + 1  = x² -4x + 7 ***

A + CD = X - 3 + ( X + 1)( X + 4) = x - 3 + x² + 4x + x + 4 = x² + 6x + 1 ***

BD + C = ( X -2)( X + 4) + X + 1 = x²  + 4x - 2x - 8  +x + 1  = x² + 3x - 7****

ABC = [ ( X - 3) (X - 2)]  ( X + 1) = [ x² - 2x - 3x + 6 ] ( x + 1)  =
( x² - 5x + 6) ( x + 1)  = x³ - 5x²  + 6x + x² - 5x + 6 =x³ - 4x² + x  + 6 ****