Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-169s^2+100\)
2. \(64s^{6}-49y^2\)
3. \(81-256b^{8}\)
4. \(4b^2-169\)
5. \(x^2-196\)
6. \(169s^{4}-121x^2\)
7. \(81s^{12}-16x^2\)
8. \(81s^2-196p^{14}\)
9. \(36p^2-132p+121\)
10. \(-64b^2+121\)
11. \(1-225b^{10}\)
12. \(s^2+16s+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-169s^2+100=(10-13s)(10+13s)\)
2. \(64s^{6}-49y^2=(8s^3+7y)(8s^3-7y)\)
3. \(81-256b^{8}=(9-16b^4)(9+16b^4)\)
4. \(4b^2-169=(2b+13)(2b-13)\)
5. \(x^2-196=(x+14)(x-14)\)
6. \(169s^{4}-121x^2=(13s^2+11x)(13s^2-11x)\)
7. \(81s^{12}-16x^2=(9s^6+4x)(9s^6-4x)\)
8. \(81s^2-196p^{14}=(9s-14p^7)(9s+14p^7)\)
9. \(36p^2-132p+121=(6p-11)^2\)
10. \(-64b^2+121=(11-8b)(11+8b)\)
11. \(1-225b^{10}=(1-15b^5)(1+15b^5)\)
12. \(s^2+16s+64=(s+8)^2\)