Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-49y^2+64\)
2. \(4s^2-25\)
3. \(b^2-22b+121\)
4. \(-196q^2+9\)
5. \(49y^{10}+14y^5+1\)
6. \(225y^2+30y+1\)
7. \(q^2-100\)
8. \(y^2-169\)
9. \(144b^2+24b+1\)
10. \(144q^{6}+120q^3s+25s^2\)
11. \(196b^{6}+252b^3q+81q^2\)
12. \(s^2-12s+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-49y^2+64=(8-7y)(8+7y)\)
2. \(4s^2-25=(2s+5)(2s-5)\)
3. \(b^2-22b+121=(b-11)^2\)
4. \(-196q^2+9=(3-14q)(3+14q)\)
5. \(49y^{10}+14y^5+1=(7y^5+1)^2\)
6. \(225y^2+30y+1=(15y+1)^2\)
7. \(q^2-100=(q+10)(q-10)\)
8. \(y^2-169=(y+13)(y-13)\)
9. \(144b^2+24b+1=(12b+1)^2\)
10. \(144q^{6}+120q^3s+25s^2=(12q^3+5s)^2\)
11. \(196b^{6}+252b^3q+81q^2=(14b^3+9q)^2\)
12. \(s^2-12s+36=(s-6)^2\)