Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2-24s+144\)
2. \(4a^{4}+52a^2b+169b^2\)
3. \(196y^2-308y+121\)
4. \(256a^{4}+224a^2q+49q^2\)
5. \(x^2-121\)
6. \(196-169y^{14}\)
7. \(144s^{8}+264s^4x+121x^2\)
8. \(25-4b^{12}\)
9. \(q^2-225\)
10. \(s^2+22s+121\)
11. \(b^2-36\)
12. \(b^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2-24s+144=(s-12)^2\)
2. \(4a^{4}+52a^2b+169b^2=(2a^2+13b)^2\)
3. \(196y^2-308y+121=(14y-11)^2\)
4. \(256a^{4}+224a^2q+49q^2=(16a^2+7q)^2\)
5. \(x^2-121=(x-11)(x+11)\)
6. \(196-169y^{14}=(14-13y^7)(14+13y^7)\)
7. \(144s^{8}+264s^4x+121x^2=(12s^4+11x)^2\)
8. \(25-4b^{12}=(5-2b^6)(5+2b^6)\)
9. \(q^2-225=(q+15)(q-15)\)
10. \(s^2+22s+121=(s+11)^2\)
11. \(b^2-36=(b+6)(b-6)\)
12. \(b^2-64=(b-8)(b+8)\)