Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121s^{8}+88s^4x+16x^2\)
2. \(9p^{10}+48p^5+64\)
3. \(4a^2+4a+1\)
4. \(256b^{10}-288b^5p+81p^2\)
5. \(a^2+8a+16\)
6. \(s^2-9\)
7. \(121b^{12}-4y^2\)
8. \(16b^{8}+104b^4+169\)
9. \(36b^{8}+132b^4p+121p^2\)
10. \(144y^{14}-25\)
11. \(16a^{16}-121s^2\)
12. \(p^2-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121s^{8}+88s^4x+16x^2=(11s^4+4x)^2\)
2. \(9p^{10}+48p^5+64=(3p^5+8)^2\)
3. \(4a^2+4a+1=(2a+1)^2\)
4. \(256b^{10}-288b^5p+81p^2=(16b^5-9p)^2\)
5. \(a^2+8a+16=(a+4)^2\)
6. \(s^2-9=(s+3)(s-3)\)
7. \(121b^{12}-4y^2=(11b^6+2y)(11b^6-2y)\)
8. \(16b^{8}+104b^4+169=(4b^4+13)^2\)
9. \(36b^{8}+132b^4p+121p^2=(6b^4+11p)^2\)
10. \(144y^{14}-25=(12y^7+5)(12y^7-5)\)
11. \(16a^{16}-121s^2=(4a^8+11s)(4a^8-11s)\)
12. \(p^2-16=(p+4)(p-4)\)