Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81s^2-256a^{10}\)
2. \(49y^2-16a^{16}\)
3. \(169x^{10}-156x^5+36\)
4. \(9s^2-196b^{10}\)
5. \(16a^2-49\)
6. \(a^2+6a+9\)
7. \(4a^{10}+4a^5p+1p^2\)
8. \(25s^2+30s+9\)
9. \(225b^2+420b+196\)
10. \(-49y^2+36\)
11. \(y^2-16\)
12. \(16p^{8}-225s^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81s^2-256a^{10}=(9s-16a^5)(9s+16a^5)\)
2. \(49y^2-16a^{16}=(7y-4a^8)(7y+4a^8)\)
3. \(169x^{10}-156x^5+36=(13x^5-6)^2\)
4. \(9s^2-196b^{10}=(3s-14b^5)(3s+14b^5)\)
5. \(16a^2-49=(4a+7)(4a-7)\)
6. \(a^2+6a+9=(a+3)^2\)
7. \(4a^{10}+4a^5p+1p^2=(2a^5+p)^2\)
8. \(25s^2+30s+9=(5s+3)^2\)
9. \(225b^2+420b+196=(15b+14)^2\)
10. \(-49y^2+36=(6-7y)(6+7y)\)
11. \(y^2-16=(y+4)(y-4)\)
12. \(16p^{8}-225s^2=(4p^4+15s)(4p^4-15s)\)