Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4x^2-225\)
2. \(169-196y^{12}\)
3. \(p^2-225\)
4. \(9-256p^{8}\)
5. \(-49a^2+4\)
6. \(9q^{12}-100\)
7. \(-256s^2+49\)
8. \(-169x^2+64\)
9. \(a^2-30a+225\)
10. \(4b^{8}+4b^4q+1q^2\)
11. \(49-256p^{14}\)
12. \(144s^{10}+264s^5+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4x^2-225=(2x+15)(2x-15)\)
2. \(169-196y^{12}=(13-14y^6)(13+14y^6)\)
3. \(p^2-225=(p+15)(p-15)\)
4. \(9-256p^{8}=(3-16p^4)(3+16p^4)\)
5. \(-49a^2+4=(2-7a)(2+7a)\)
6. \(9q^{12}-100=(3q^6+10)(3q^6-10)\)
7. \(-256s^2+49=(7-16s)(7+16s)\)
8. \(-169x^2+64=(8-13x)(8+13x)\)
9. \(a^2-30a+225=(a-15)^2\)
10. \(4b^{8}+4b^4q+1q^2=(2b^4+q)^2\)
11. \(49-256p^{14}=(7-16p^7)(7+16p^7)\)
12. \(144s^{10}+264s^5+121=(12s^5+11)^2\)