Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64s^2+121\)
2. \(y^2-196\)
3. \(-256x^2+169\)
4. \(81y^{10}-169\)
5. \(36q^{10}-1\)
6. \(225p^2+30p+1\)
7. \(9p^{6}-4x^2\)
8. \(121p^2+198p+81\)
9. \(16x^{6}-88x^3+121\)
10. \(196p^2+364p+169\)
11. \(100a^{6}+20a^3b+1b^2\)
12. \(a^2+16a+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64s^2+121=(11-8s)(11+8s)\)
2. \(y^2-196=(y-14)(y+14)\)
3. \(-256x^2+169=(13-16x)(13+16x)\)
4. \(81y^{10}-169=(9y^5+13)(9y^5-13)\)
5. \(36q^{10}-1=(6q^5+1)(6q^5-1)\)
6. \(225p^2+30p+1=(15p+1)^2\)
7. \(9p^{6}-4x^2=(3p^3+2x)(3p^3-2x)\)
8. \(121p^2+198p+81=(11p+9)^2\)
9. \(16x^{6}-88x^3+121=(4x^3-11)^2\)
10. \(196p^2+364p+169=(14p+13)^2\)
11. \(100a^{6}+20a^3b+1b^2=(10a^3+b)^2\)
12. \(a^2+16a+64=(a+8)^2\)