Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9q^{12}-1\)
2. \(4a^{16}-121\)
3. \(100p^{4}+180p^2q+81q^2\)
4. \(q^2-225\)
5. \(q^2-36\)
6. \(64b^{4}+208b^2q+169q^2\)
7. \(b^2-9\)
8. \(16q^{10}-81\)
9. \(196a^2+308a+121\)
10. \(256q^2-288q+81\)
11. \(256s^2-49\)
12. \(y^2-4y+4\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9q^{12}-1=(3q^6+1)(3q^6-1)\)
2. \(4a^{16}-121=(2a^8+11)(2a^8-11)\)
3. \(100p^{4}+180p^2q+81q^2=(10p^2+9q)^2\)
4. \(q^2-225=(q-15)(q+15)\)
5. \(q^2-36=(q+6)(q-6)\)
6. \(64b^{4}+208b^2q+169q^2=(8b^2+13q)^2\)
7. \(b^2-9=(b+3)(b-3)\)
8. \(16q^{10}-81=(4q^5+9)(4q^5-9)\)
9. \(196a^2+308a+121=(14a+11)^2\)
10. \(256q^2-288q+81=(16q-9)^2\)
11. \(256s^2-49=(16s+7)(16s-7)\)
12. \(y^2-4y+4=(y-2)^2\)