Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^2-225q^{12}\)
2. \(121x^2-176x+64\)
3. \(144s^2+24s+1\)
4. \(64b^{6}-112b^3+49\)
5. \(169x^2-156x+36\)
6. \(121q^2-196b^{16}\)
7. \(225s^2+30s+1\)
8. \(36b^2-60b+25\)
9. \(49a^{16}-81\)
10. \(a^2-36\)
11. \(-196s^2+121\)
12. \(x^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^2-225q^{12}=(2x-15q^6)(2x+15q^6)\)
2. \(121x^2-176x+64=(11x-8)^2\)
3. \(144s^2+24s+1=(12s+1)^2\)
4. \(64b^{6}-112b^3+49=(8b^3-7)^2\)
5. \(169x^2-156x+36=(13x-6)^2\)
6. \(121q^2-196b^{16}=(11q-14b^8)(11q+14b^8)\)
7. \(225s^2+30s+1=(15s+1)^2\)
8. \(36b^2-60b+25=(6b-5)^2\)
9. \(49a^{16}-81=(7a^8+9)(7a^8-9)\)
10. \(a^2-36=(a-6)(a+6)\)
11. \(-196s^2+121=(11-14s)(11+14s)\)
12. \(x^2-9=(x-3)(x+3)\)