Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-8a+16\)
2. \(x^2-14x+49\)
3. \(169x^2-225q^{14}\)
4. \(144b^{8}+24b^4q+1q^2\)
5. \(81q^2+72q+16\)
6. \(-196b^2+225\)
7. \(100s^{10}-169x^2\)
8. \(y^2-12y+36\)
9. \(y^2+18y+81\)
10. \(49a^{6}+168a^3+144\)
11. \(p^2-81\)
12. \(-225s^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-8a+16=(a-4)^2\)
2. \(x^2-14x+49=(x-7)^2\)
3. \(169x^2-225q^{14}=(13x-15q^7)(13x+15q^7)\)
4. \(144b^{8}+24b^4q+1q^2=(12b^4+q)^2\)
5. \(81q^2+72q+16=(9q+4)^2\)
6. \(-196b^2+225=(15-14b)(15+14b)\)
7. \(100s^{10}-169x^2=(10s^5+13x)(10s^5-13x)\)
8. \(y^2-12y+36=(y-6)^2\)
9. \(y^2+18y+81=(y+9)^2\)
10. \(49a^{6}+168a^3+144=(7a^3+12)^2\)
11. \(p^2-81=(p+9)(p-9)\)
12. \(-225s^2+121=(11-15s)(11+15s)\)