Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-36\)
2. \(q^2-144\)
3. \(225-49b^{16}\)
4. \(p^2-8p+16\)
5. \(-9y^2+4\)
6. \(25y^2-20y+4\)
7. \(144q^{6}+312q^3+169\)
8. \(16s^2-24s+9\)
9. \(100-81q^{12}\)
10. \(169x^2-81a^{6}\)
11. \(49y^2+14y+1\)
12. \(y^2+2y+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-36=(s+6)(s-6)\)
2. \(q^2-144=(q-12)(q+12)\)
3. \(225-49b^{16}=(15-7b^8)(15+7b^8)\)
4. \(p^2-8p+16=(p-4)^2\)
5. \(-9y^2+4=(2-3y)(2+3y)\)
6. \(25y^2-20y+4=(5y-2)^2\)
7. \(144q^{6}+312q^3+169=(12q^3+13)^2\)
8. \(16s^2-24s+9=(4s-3)^2\)
9. \(100-81q^{12}=(10-9q^6)(10+9q^6)\)
10. \(169x^2-81a^{6}=(13x-9a^3)(13x+9a^3)\)
11. \(49y^2+14y+1=(7y+1)^2\)
12. \(y^2+2y+1=(y+1)^2\)