4. Oblicz korzystając ze wzoru skróconego mnożenia :
a) 76² - 24² =
b) 107 * 93=
c) 165² - 65² =
d) 97² - 96²
Stosujemy wzór a^2-b^2=(a-b)(a+b)a) 76^2-24^2=(76-24)(76+24)=52*100=5200b)107*93=9951c)165^2-65^2=(165-65)(165+65)=100*230+23000d)97^2-96^2=(97-96)(97+96)=1*193=193
a) 76^2 -24^2 = (76 -24) (76 +24) = 52 * 100 = 5 200
b) 107 * 93 = 9 951
c) 165^2 -65^2 = (165 -65)(165 +65) = 100 *230 = 23 000
d) 97^2 -96^2 = (97 -96)(97+96) = 1 *193 = 193
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Stosujemy wzór a^2-b^2=(a-b)(a+b)
a) 76^2-24^2=(76-24)(76+24)=52*100=5200
b)107*93=9951
c)165^2-65^2=(165-65)(165+65)=100*230+23000
d)97^2-96^2=(97-96)(97+96)=1*193=193
a) 76^2 -24^2 = (76 -24) (76 +24) = 52 * 100 = 5 200
b) 107 * 93 = 9 951
c) 165^2 -65^2 = (165 -65)(165 +65) = 100 *230 = 23 000
d) 97^2 -96^2 = (97 -96)(97+96) = 1 *193 = 193