Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-225\)
2. \(b^2+6b+9\)
3. \(4q^{6}+60q^3+225\)
4. \(100q^{4}-260q^2s+169s^2\)
5. \(121p^{6}-110p^3+25\)
6. \(x^2-36\)
7. \(s^2-20s+100\)
8. \(256q^2+32q+1\)
9. \(121a^2+286a+169\)
10. \(169a^{4}+286a^2+121\)
11. \(64p^2-112p+49\)
12. \(b^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-225=(y-15)(y+15)\)
2. \(b^2+6b+9=(b+3)^2\)
3. \(4q^{6}+60q^3+225=(2q^3+15)^2\)
4. \(100q^{4}-260q^2s+169s^2=(10q^2-13s)^2\)
5. \(121p^{6}-110p^3+25=(11p^3-5)^2\)
6. \(x^2-36=(x-6)(x+6)\)
7. \(s^2-20s+100=(s-10)^2\)
8. \(256q^2+32q+1=(16q+1)^2\)
9. \(121a^2+286a+169=(11a+13)^2\)
10. \(169a^{4}+286a^2+121=(13a^2+11)^2\)
11. \(64p^2-112p+49=(8p-7)^2\)
12. \(b^2-64=(b+8)(b-8)\)