Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^{4}+8s^2+1\)
2. \(169-64y^{6}\)
3. \(36b^{4}-60b^2p+25p^2\)
4. \(1-25a^{4}\)
5. \(a^2-144\)
6. \(36a^{6}+132a^3+121\)
7. \(-225y^2+49\)
8. \(q^2+12q+36\)
9. \(p^2-12p+36\)
10. \(x^2-225\)
11. \(s^2-196\)
12. \(x^2-18x+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^{4}+8s^2+1=(4s^2+1)^2\)
2. \(169-64y^{6}=(13-8y^3)(13+8y^3)\)
3. \(36b^{4}-60b^2p+25p^2=(6b^2-5p)^2\)
4. \(1-25a^{4}=(1-5a^2)(1+5a^2)\)
5. \(a^2-144=(a-12)(a+12)\)
6. \(36a^{6}+132a^3+121=(6a^3+11)^2\)
7. \(-225y^2+49=(7-15y)(7+15y)\)
8. \(q^2+12q+36=(q+6)^2\)
9. \(p^2-12p+36=(p-6)^2\)
10. \(x^2-225=(x-15)(x+15)\)
11. \(s^2-196=(s+14)(s-14)\)
12. \(x^2-18x+81=(x-9)^2\)