Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121b^2-44b+4\)
2. \(y^2-4y+4\)
3. \(256a^2+224a+49\)
4. \(36s^2+12s+1\)
5. \(s^2-225\)
6. \(49x^2-100a^{12}\)
7. \(a^2-49\)
8. \(q^2+20q+100\)
9. \(100a^2-60a+9\)
10. \(9q^2-196b^{6}\)
11. \(4p^{4}+52p^2+169\)
12. \(4p^{4}+4p^2x+1x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121b^2-44b+4=(11b-2)^2\)
2. \(y^2-4y+4=(y-2)^2\)
3. \(256a^2+224a+49=(16a+7)^2\)
4. \(36s^2+12s+1=(6s+1)^2\)
5. \(s^2-225=(s-15)(s+15)\)
6. \(49x^2-100a^{12}=(7x-10a^6)(7x+10a^6)\)
7. \(a^2-49=(a-7)(a+7)\)
8. \(q^2+20q+100=(q+10)^2\)
9. \(100a^2-60a+9=(10a-3)^2\)
10. \(9q^2-196b^{6}=(3q-14b^3)(3q+14b^3)\)
11. \(4p^{4}+52p^2+169=(2p^2+13)^2\)
12. \(4p^{4}+4p^2x+1x^2=(2p^2+x)^2\)