Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^2+52q+169\)
2. \(225a^{4}-420a^2+196\)
3. \(121p^2+264p+144\)
4. \(36a^{6}+12a^3+1\)
5. \(49b^{4}-28b^2x+4x^2\)
6. \(256s^{8}+352s^4+121\)
7. \(x^2+2x+1\)
8. \(p^2+6p+9\)
9. \(64x^{8}-208x^4+169\)
10. \(256y^2+480y+225\)
11. \(225p^{14}-49y^2\)
12. \(100a^{6}-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^2+52q+169=(2q+13)^2\)
2. \(225a^{4}-420a^2+196=(15a^2-14)^2\)
3. \(121p^2+264p+144=(11p+12)^2\)
4. \(36a^{6}+12a^3+1=(6a^3+1)^2\)
5. \(49b^{4}-28b^2x+4x^2=(7b^2-2x)^2\)
6. \(256s^{8}+352s^4+121=(16s^4+11)^2\)
7. \(x^2+2x+1=(x+1)^2\)
8. \(p^2+6p+9=(p+3)^2\)
9. \(64x^{8}-208x^4+169=(8x^4-13)^2\)
10. \(256y^2+480y+225=(16y+15)^2\)
11. \(225p^{14}-49y^2=(15p^7+7y)(15p^7-7y)\)
12. \(100a^{6}-9=(10a^3+3)(10a^3-3)\)