Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256x^{16}-121\)
2. \(64y^2-121s^{4}\)
3. \(a^{6}-144q^2\)
4. \(b^2-25\)
5. \(y^2-49\)
6. \(121a^{4}-44a^2+4\)
7. \(y^2-16y+64\)
8. \(121s^2-100a^{6}\)
9. \(121-225s^{10}\)
10. \(16x^2-1\)
11. \(144p^{4}+24p^2+1\)
12. \(p^2+6p+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256x^{16}-121=(16x^8+11)(16x^8-11)\)
2. \(64y^2-121s^{4}=(8y-11s^2)(8y+11s^2)\)
3. \(a^{6}-144q^2=(a^3+12q)(a^3-12q)\)
4. \(b^2-25=(b-5)(b+5)\)
5. \(y^2-49=(y+7)(y-7)\)
6. \(121a^{4}-44a^2+4=(11a^2-2)^2\)
7. \(y^2-16y+64=(y-8)^2\)
8. \(121s^2-100a^{6}=(11s-10a^3)(11s+10a^3)\)
9. \(121-225s^{10}=(11-15s^5)(11+15s^5)\)
10. \(16x^2-1=(4x+1)(4x-1)\)
11. \(144p^{4}+24p^2+1=(12p^2+1)^2\)
12. \(p^2+6p+9=(p+3)^2\)