Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^2-49b^{16}\)
2. \(36-49b^{14}\)
3. \(256p^{10}+224p^5y+49y^2\)
4. \(p^2+4p+4\)
5. \(144x^2-1\)
6. \(x^2-30x+225\)
7. \(64y^{6}+80y^3+25\)
8. \(9b^2+42b+49\)
9. \(121-49a^{6}\)
10. \(64y^2+240y+225\)
11. \(100q^{8}-60q^4s+9s^2\)
12. \(b^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^2-49b^{16}=(9q-7b^8)(9q+7b^8)\)
2. \(36-49b^{14}=(6-7b^7)(6+7b^7)\)
3. \(256p^{10}+224p^5y+49y^2=(16p^5+7y)^2\)
4. \(p^2+4p+4=(p+2)^2\)
5. \(144x^2-1=(12x+1)(12x-1)\)
6. \(x^2-30x+225=(x-15)^2\)
7. \(64y^{6}+80y^3+25=(8y^3+5)^2\)
8. \(9b^2+42b+49=(3b+7)^2\)
9. \(121-49a^{6}=(11-7a^3)(11+7a^3)\)
10. \(64y^2+240y+225=(8y+15)^2\)
11. \(100q^{8}-60q^4s+9s^2=(10q^4-3s)^2\)
12. \(b^2-225=(b-15)(b+15)\)