Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256x^2-9\)
2. \(100a^{6}+180a^3x+81x^2\)
3. \(49b^{14}-64x^2\)
4. \(-9s^2+100\)
5. \(25s^2-16\)
6. \(36q^{16}-169x^2\)
7. \(121y^{10}+44y^5+4\)
8. \(p^2-12p+36\)
9. \(25y^2-144a^{6}\)
10. \(144x^{8}-264x^4+121\)
11. \(s^2-26s+169\)
12. \(-196b^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256x^2-9=(16x+3)(16x-3)\)
2. \(100a^{6}+180a^3x+81x^2=(10a^3+9x)^2\)
3. \(49b^{14}-64x^2=(7b^7+8x)(7b^7-8x)\)
4. \(-9s^2+100=(10-3s)(10+3s)\)
5. \(25s^2-16=(5s+4)(5s-4)\)
6. \(36q^{16}-169x^2=(6q^8+13x)(6q^8-13x)\)
7. \(121y^{10}+44y^5+4=(11y^5+2)^2\)
8. \(p^2-12p+36=(p-6)^2\)
9. \(25y^2-144a^{6}=(5y-12a^3)(5y+12a^3)\)
10. \(144x^{8}-264x^4+121=(12x^4-11)^2\)
11. \(s^2-26s+169=(s-13)^2\)
12. \(-196b^2+81=(9-14b)(9+14b)\)