Question

Jak obliczyć?Proszę rozpisać.

x-(x-1)x-(1-x)(x+1) jeśli x=999

(2x-3)²-(2x+3)² jeśli x=-1 ⅜

(√2x+1)²-(√2x-1)² jeśli x=2√2

(x⁵:x²):(x⁸:x⁷) jeśli x=⅔

Answer 1

x-(x-1)x-(1-x)(x+1)=x-(x^2-x)-(1-x^2)=x-x^2+x-1+x^2=2x-1

2*999-1=1998-1=1997

 

(2x-3)²-(2x+3)²=4x^2-12x+9-4x^2-12x-9=-24x

-24*(-11/8)=33

 

(√2x+1)²-(√2x-1)²=2x^2-2√2x+1-2x^2+2√2x-1=0

 

(x⁵:x²):(x⁸:x⁷)=x^3:x^1=x^2

(2/3)^2=4/9