Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-81\)
2. \(4x^{8}+20x^4+25\)
3. \(-16p^2+169\)
4. \(9a^{8}+24a^4+16\)
5. \(b^2-100\)
6. \(25b^2-144a^{14}\)
7. \(169s^2+78s+9\)
8. \(a^2-18a+81\)
9. \(4a^{8}+4a^4+1\)
10. \(36y^2-132y+121\)
11. \(121-256b^{4}\)
12. \(y^2+30y+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-81=(x+9)(x-9)\)
2. \(4x^{8}+20x^4+25=(2x^4+5)^2\)
3. \(-16p^2+169=(13-4p)(13+4p)\)
4. \(9a^{8}+24a^4+16=(3a^4+4)^2\)
5. \(b^2-100=(b-10)(b+10)\)
6. \(25b^2-144a^{14}=(5b-12a^7)(5b+12a^7)\)
7. \(169s^2+78s+9=(13s+3)^2\)
8. \(a^2-18a+81=(a-9)^2\)
9. \(4a^{8}+4a^4+1=(2a^4+1)^2\)
10. \(36y^2-132y+121=(6y-11)^2\)
11. \(121-256b^{4}=(11-16b^2)(11+16b^2)\)
12. \(y^2+30y+225=(y+15)^2\)