Question

4.Simplifique as expressoes
A) (x+1) elevado a 2 + ( x+2)elevado a 2
B) (2x + 1)elevado a 2 + (3x+1)elevado a 2
C)5x-(2x+3)elevado a 2
D)(x+5)elevado a 2 - x(x+3)

Answer 1

A) (x+1)^2 + (x+2)^2
[x^2+2(x)(1)+(1)^2] + [x^2+2(x)(2)+(2)^2]
x^2+2x+1+x^2+4x+4
2x^2+6x+5

B) (2x+1)^2+(3x+1)^2
[(2x)^2+2(2x)(1)+(1)] + [(3x)^2+2(3x)(1)+(1)^2]
4x^2+4x+1+9x^2+6x+1
13x^2+10x+2

C) 5x - (2x+3)^2
5x - (2x)^2+2(2x)(3)+(3)^2
5x-4x^2+12x+9

D) (x+5)^2 - x(x+3)
[(x)^2+2(x)(5)+(5)^2] - [x^2+3x]
x^2+10x+25-x^2+3x
10x+25+3x
13x+25