Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225x^{8}-210x^4+49\)
2. \(16a^2-225\)
3. \(49b^{4}-126b^2x+81x^2\)
4. \(169s^{6}-196\)
5. \(64p^{8}+16p^4+1\)
6. \(81s^{8}-4y^2\)
7. \(4s^{6}+4s^3+1\)
8. \(256x^{10}-25\)
9. \(144b^2-264b+121\)
10. \(-256a^2+225\)
11. \(256p^{4}+416p^2s+169s^2\)
12. \(225a^{4}-420a^2b+196b^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225x^{8}-210x^4+49=(15x^4-7)^2\)
2. \(16a^2-225=(4a+15)(4a-15)\)
3. \(49b^{4}-126b^2x+81x^2=(7b^2-9x)^2\)
4. \(169s^{6}-196=(13s^3+14)(13s^3-14)\)
5. \(64p^{8}+16p^4+1=(8p^4+1)^2\)
6. \(81s^{8}-4y^2=(9s^4+2y)(9s^4-2y)\)
7. \(4s^{6}+4s^3+1=(2s^3+1)^2\)
8. \(256x^{10}-25=(16x^5+5)(16x^5-5)\)
9. \(144b^2-264b+121=(12b-11)^2\)
10. \(-256a^2+225=(15-16a)(15+16a)\)
11. \(256p^{4}+416p^2s+169s^2=(16p^2+13s)^2\)
12. \(225a^{4}-420a^2b+196b^2=(15a^2-14b)^2\)