Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-25x^2+9\)
2. \(q^2-64\)
3. \(b^2-1\)
4. \(100x^2-1\)
5. \(36y^2+132y+121\)
6. \(-100s^2+81\)
7. \(9q^2+60q+100\)
8. \(100a^{6}-9s^2\)
9. \(16a^{8}+88a^4+121\)
10. \(-64q^2+9\)
11. \(s^2-4s+4\)
12. \(25y^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-25x^2+9=(3-5x)(3+5x)\)
2. \(q^2-64=(q-8)(q+8)\)
3. \(b^2-1=(b-1)(b+1)\)
4. \(100x^2-1=(10x+1)(10x-1)\)
5. \(36y^2+132y+121=(6y+11)^2\)
6. \(-100s^2+81=(9-10s)(9+10s)\)
7. \(9q^2+60q+100=(3q+10)^2\)
8. \(100a^{6}-9s^2=(10a^3+3s)(10a^3-3s)\)
9. \(16a^{8}+88a^4+121=(4a^4+11)^2\)
10. \(-64q^2+9=(3-8q)(3+8q)\)
11. \(s^2-4s+4=(s-2)^2\)
12. \(25y^2-121=(5y+11)(5y-11)\)