Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^2+78s+169\)
2. \(49y^{8}-169\)
3. \(36x^2-49\)
4. \(100q^{6}+60q^3y+9y^2\)
5. \(9s^2-30s+25\)
6. \(1-81s^{6}\)
7. \(144x^2+24x+1\)
8. \(p^2-196\)
9. \(196s^2-9p^{4}\)
10. \(4p^{12}-121\)
11. \(196a^{12}-81x^2\)
12. \(100q^2+20q+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^2+78s+169=(3s+13)^2\)
2. \(49y^{8}-169=(7y^4+13)(7y^4-13)\)
3. \(36x^2-49=(6x+7)(6x-7)\)
4. \(100q^{6}+60q^3y+9y^2=(10q^3+3y)^2\)
5. \(9s^2-30s+25=(3s-5)^2\)
6. \(1-81s^{6}=(1-9s^3)(1+9s^3)\)
7. \(144x^2+24x+1=(12x+1)^2\)
8. \(p^2-196=(p-14)(p+14)\)
9. \(196s^2-9p^{4}=(14s-3p^2)(14s+3p^2)\)
10. \(4p^{12}-121=(2p^6+11)(2p^6-11)\)
11. \(196a^{12}-81x^2=(14a^6+9x)(14a^6-9x)\)
12. \(100q^2+20q+1=(10q+1)^2\)