Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16\)
2. \(64-9q^{16}\)
3. \(y^2-1\)
4. \(256p^2+224p+49\)
5. \(16q^{12}-9y^2\)
6. \(225b^{4}+330b^2s+121s^2\)
7. \(25b^2+140b+196\)
8. \(196p^2-225\)
9. \(b^{8}-196y^2\)
10. \(9p^{6}-84p^3+196\)
11. \(b^2-4b+4\)
12. \(64-225x^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16=(q-4)(q+4)\)
2. \(64-9q^{16}=(8-3q^8)(8+3q^8)\)
3. \(y^2-1=(y+1)(y-1)\)
4. \(256p^2+224p+49=(16p+7)^2\)
5. \(16q^{12}-9y^2=(4q^6+3y)(4q^6-3y)\)
6. \(225b^{4}+330b^2s+121s^2=(15b^2+11s)^2\)
7. \(25b^2+140b+196=(5b+14)^2\)
8. \(196p^2-225=(14p+15)(14p-15)\)
9. \(b^{8}-196y^2=(b^4+14y)(b^4-14y)\)
10. \(9p^{6}-84p^3+196=(3p^3-14)^2\)
11. \(b^2-4b+4=(b-2)^2\)
12. \(64-225x^{12}=(8-15x^6)(8+15x^6)\)