Zadanie 12 strona 88 Matematyka z plusem kasa 2 gimnazjum Temat Wzory skróconego mnożenia.
Oblicz:
a) (√2 + 1)(√2 - 1)=(√2)²-1²=2-1=1
b) (8 - 5√3)(8 + 5√3)=8²-(5√3)²=64-25*3=64-75=9
c) (√π - √2)(√π + √2)(π+2)=(√π)²-(√2)²(π+2)=(π-2)(π+2)=π²-2²=π²-4
d) (√π+1 + √π-1)(√π+1 - √π-1)=(√π+1)²-(√π-1)²=π+1-[π-1]=π+1-π+1=2
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a) (√2 + 1)(√2 - 1)=(√2)²-1²=2-1=1
b) (8 - 5√3)(8 + 5√3)=8²-(5√3)²=64-25*3=64-75=9
c) (√π - √2)(√π + √2)(π+2)=(√π)²-(√2)²(π+2)=(π-2)(π+2)=π²-2²=π²-4
d) (√π+1 + √π-1)(√π+1 - √π-1)=(√π+1)²-(√π-1)²=π+1-[π-1]=π+1-π+1=2