Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196s^{4}+84s^2x+9x^2\)
2. \(36p^{14}-121\)
3. \(169b^{8}-156b^4p+36p^2\)
4. \(81b^2-1\)
5. \(64q^{8}-240q^4+225\)
6. \(25a^{8}-90a^4+81\)
7. \(q^2+8q+16\)
8. \(49y^2-100s^{12}\)
9. \(-9x^2+169\)
10. \(25p^{8}+80p^4y+64y^2\)
11. \(81s^{4}-72s^2+16\)
12. \(25p^2-36a^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196s^{4}+84s^2x+9x^2=(14s^2+3x)^2\)
2. \(36p^{14}-121=(6p^7+11)(6p^7-11)\)
3. \(169b^{8}-156b^4p+36p^2=(13b^4-6p)^2\)
4. \(81b^2-1=(9b+1)(9b-1)\)
5. \(64q^{8}-240q^4+225=(8q^4-15)^2\)
6. \(25a^{8}-90a^4+81=(5a^4-9)^2\)
7. \(q^2+8q+16=(q+4)^2\)
8. \(49y^2-100s^{12}=(7y-10s^6)(7y+10s^6)\)
9. \(-9x^2+169=(13-3x)(13+3x)\)
10. \(25p^{8}+80p^4y+64y^2=(5p^4+8y)^2\)
11. \(81s^{4}-72s^2+16=(9s^2-4)^2\)
12. \(25p^2-36a^{4}=(5p-6a^2)(5p+6a^2)\)