Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196s^2-364s+169\)
2. \(b^2-26b+169\)
3. \(9s^{4}-100\)
4. \(64q^{12}-121\)
5. \(b^2-49\)
6. \(225x^2-169\)
7. \(100p^{8}-260p^4+169\)
8. \(64q^2+16q+1\)
9. \(16x^{10}+56x^5+49\)
10. \(256p^2-169\)
11. \(64b^{4}+80b^2y+25y^2\)
12. \(s^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196s^2-364s+169=(14s-13)^2\)
2. \(b^2-26b+169=(b-13)^2\)
3. \(9s^{4}-100=(3s^2+10)(3s^2-10)\)
4. \(64q^{12}-121=(8q^6+11)(8q^6-11)\)
5. \(b^2-49=(b+7)(b-7)\)
6. \(225x^2-169=(15x+13)(15x-13)\)
7. \(100p^{8}-260p^4+169=(10p^4-13)^2\)
8. \(64q^2+16q+1=(8q+1)^2\)
9. \(16x^{10}+56x^5+49=(4x^5+7)^2\)
10. \(256p^2-169=(16p+13)(16p-13)\)
11. \(64b^{4}+80b^2y+25y^2=(8b^2+5y)^2\)
12. \(s^2-81=(s-9)(s+9)\)