Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{6}+240b^3+64\)
2. \(225b^{6}-49\)
3. \(a^2-196\)
4. \(9y^2-48y+64\)
5. \(121q^{4}-220q^2+100\)
6. \(16b^{4}-120b^2s+225s^2\)
7. \(169a^2-312a+144\)
8. \(4x^{10}-169\)
9. \(4q^2-121\)
10. \(s^2-121\)
11. \(s^2+28s+196\)
12. \(9-256p^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{6}+240b^3+64=(15b^3+8)^2\)
2. \(225b^{6}-49=(15b^3+7)(15b^3-7)\)
3. \(a^2-196=(a-14)(a+14)\)
4. \(9y^2-48y+64=(3y-8)^2\)
5. \(121q^{4}-220q^2+100=(11q^2-10)^2\)
6. \(16b^{4}-120b^2s+225s^2=(4b^2-15s)^2\)
7. \(169a^2-312a+144=(13a-12)^2\)
8. \(4x^{10}-169=(2x^5+13)(2x^5-13)\)
9. \(4q^2-121=(2q+11)(2q-11)\)
10. \(s^2-121=(s+11)(s-11)\)
11. \(s^2+28s+196=(s+14)^2\)
12. \(9-256p^{12}=(3-16p^6)(3+16p^6)\)