Zapisz w jak najprostszej postaci:
a). (x+3y)² - 9y²
b). 4x² + 1 - (2x+1)²
c). 2(3+b)² - 12b
d). (x-2)² - (x+1)²
a). (x+3y)² - 9y²=x²+6xy+9y²-9y²=x²+6xy= x(x+6y)
b). 4x² + 1 - (2x+1)²=4x²+1-(4x²+4x+1)=4x²+1-4x²-4x-1= -4x
c). 2(3+b)² - 12b=2(9+6b+b²)-12b=18+12b+2b²-12b=2b²+18= 2(b²+9)
d). (x-2)² - (x+1)²=(x²-4x+4)-(x²+2x+1)=x²-4x+4-x²-2x-1= -6x+3
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a). (x+3y)² - 9y²=x²+6xy+9y²-9y²=x²+6xy= x(x+6y)
b). 4x² + 1 - (2x+1)²=4x²+1-(4x²+4x+1)=4x²+1-4x²-4x-1= -4x
c). 2(3+b)² - 12b=2(9+6b+b²)-12b=18+12b+2b²-12b=2b²+18= 2(b²+9)
d). (x-2)² - (x+1)²=(x²-4x+4)-(x²+2x+1)=x²-4x+4-x²-2x-1= -6x+3