Question

alguém pode me ajudar
a)(1+x)²+(1-x)²+(-1x)²+(-1-x)²
b)(x+½)-(1-x)²

Answer 1

$a)\ (1+x)^2+(1-x)^2+(-1x)^2+(-1-x)^2=\\\\ (1^2+2.1.x+x^2)+(1^2-2.1.x+x^2)+(1x^2)+((-1)^2-2.(-1).x+x^2) \\\\ (1+2x+x^2)+(1-2x+x^2)+(x^2)+(1+2x+x^2)=\\\\ 1+2x+x^2+1-2x+x^2+x^2+1+2x+x^2=\\\\ 4x^2+2x+3$

$b)\ (x+ \frac{1}{2})-(1-x)^2=\\\\ ( x+ \frac{1}{2}) - (1^2-2.1.x-x^2)=\\\\ (( x+ \frac{1}{2}) - (1-2x+x^2)=\\\\ x+ \frac{1}{2}-1+2x-x^2=\\\\ -x^2+3x- \frac{1}{2}=$