Doprowadź do najprostszej postaci podane wyrażenie (x+z)² - (x-z)²= (2=3x)² - (1-2x)²= x(x-11y)(x+11y) - x(x-10y)²=

(x+z)²-(x-z)²=x²+2xz+z²-(x²-2xz+z²)=x²+2xz+z²-x²+2xz-z²=4xz x(x-11y)*(x+11y)-x(x-10y)²=x(x²-121y²)-x(x²-20xy+100y²)=x³-121xy²-x³+20x²y-100xy²=20x²y-221xy² (2+3x)²-(1-2x)²=4+12x+9x²-(1-4x+4x²)=4+12x+9x²-1+4x-4x²=5x²+16x+3

²(x+z)² - (x-z)²= x²-z² (2=3x)² - (1-2x)²= 4 + 6x + 9x² -( 1 -2x +4x²) =4+6x+9x2 -1+2x -4x²=3 +8x +5x² x(x-11y)(x+11y) - x(x-10y)²= x(x²-121y) -x² +10xy =x³ -111xy -x²