Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+14s+49\)
2. \(36y^2-121\)
3. \(-4a^2+169\)
4. \(81q^2-49p^{4}\)
5. \(169q^{8}+26q^4s+1s^2\)
6. \(p^2-30p+225\)
7. \(81p^2-100\)
8. \(9y^2+48y+64\)
9. \(256y^{8}+480y^4+225\)
10. \(256b^{10}-288b^5x+81x^2\)
11. \(-9s^2+49\)
12. \(225s^{8}-330s^4+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+14s+49=(s+7)^2\)
2. \(36y^2-121=(6y+11)(6y-11)\)
3. \(-4a^2+169=(13-2a)(13+2a)\)
4. \(81q^2-49p^{4}=(9q-7p^2)(9q+7p^2)\)
5. \(169q^{8}+26q^4s+1s^2=(13q^4+s)^2\)
6. \(p^2-30p+225=(p-15)^2\)
7. \(81p^2-100=(9p+10)(9p-10)\)
8. \(9y^2+48y+64=(3y+8)^2\)
9. \(256y^{8}+480y^4+225=(16y^4+15)^2\)
10. \(256b^{10}-288b^5x+81x^2=(16b^5-9x)^2\)
11. \(-9s^2+49=(7-3s)(7+3s)\)
12. \(225s^{8}-330s^4+121=(15s^4-11)^2\)