Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-36\)
2. \(y^2-1\)
3. \(100s^{6}+60s^3+9\)
4. \(25p^{6}-64y^2\)
5. \(16b^{8}-81\)
6. \(4b^{4}+4b^2q+1q^2\)
7. \(-196y^2+121\)
8. \(144p^{4}-168p^2+49\)
9. \(225x^2-16a^{16}\)
10. \(25q^2+10q+1\)
11. \(q^2-22q+121\)
12. \(p^2+18p+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-36=(y+6)(y-6)\)
2. \(y^2-1=(y-1)(y+1)\)
3. \(100s^{6}+60s^3+9=(10s^3+3)^2\)
4. \(25p^{6}-64y^2=(5p^3+8y)(5p^3-8y)\)
5. \(16b^{8}-81=(4b^4+9)(4b^4-9)\)
6. \(4b^{4}+4b^2q+1q^2=(2b^2+q)^2\)
7. \(-196y^2+121=(11-14y)(11+14y)\)
8. \(144p^{4}-168p^2+49=(12p^2-7)^2\)
9. \(225x^2-16a^{16}=(15x-4a^8)(15x+4a^8)\)
10. \(25q^2+10q+1=(5q+1)^2\)
11. \(q^2-22q+121=(q-11)^2\)
12. \(p^2+18p+81=(p+9)^2\)