Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4-81x^{6}\)
2. \(y^2-6y+9\)
3. \(25s^{16}-169y^2\)
4. \(144q^{8}-264q^4+121\)
5. \(s^2-16\)
6. \(16q^{6}-56q^3+49\)
7. \(9a^{4}+60a^2+100\)
8. \(p^2-49\)
9. \(x^2-4\)
10. \(169-196s^{8}\)
11. \(64x^{14}-225\)
12. \(36b^{6}-25p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4-81x^{6}=(2-9x^3)(2+9x^3)\)
2. \(y^2-6y+9=(y-3)^2\)
3. \(25s^{16}-169y^2=(5s^8+13y)(5s^8-13y)\)
4. \(144q^{8}-264q^4+121=(12q^4-11)^2\)
5. \(s^2-16=(s+4)(s-4)\)
6. \(16q^{6}-56q^3+49=(4q^3-7)^2\)
7. \(9a^{4}+60a^2+100=(3a^2+10)^2\)
8. \(p^2-49=(p-7)(p+7)\)
9. \(x^2-4=(x+2)(x-2)\)
10. \(169-196s^{8}=(13-14s^4)(13+14s^4)\)
11. \(64x^{14}-225=(8x^7+15)(8x^7-15)\)
12. \(36b^{6}-25p^2=(6b^3+5p)(6b^3-5p)\)