Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-225\)
2. \(q^2-2q+1\)
3. \(169s^2-312s+144\)
4. \(9s^{8}-66s^4+121\)
5. \(81s^2-196\)
6. \(4s^{4}+4s^2x+1x^2\)
7. \(64a^2-225\)
8. \(81y^{10}-144y^5+64\)
9. \(196a^{10}-308a^5p+121p^2\)
10. \(49y^2+140y+100\)
11. \(25a^{14}-36s^2\)
12. \(49a^{10}-42a^5+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-225=(p+15)(p-15)\)
2. \(q^2-2q+1=(q-1)^2\)
3. \(169s^2-312s+144=(13s-12)^2\)
4. \(9s^{8}-66s^4+121=(3s^4-11)^2\)
5. \(81s^2-196=(9s+14)(9s-14)\)
6. \(4s^{4}+4s^2x+1x^2=(2s^2+x)^2\)
7. \(64a^2-225=(8a+15)(8a-15)\)
8. \(81y^{10}-144y^5+64=(9y^5-8)^2\)
9. \(196a^{10}-308a^5p+121p^2=(14a^5-11p)^2\)
10. \(49y^2+140y+100=(7y+10)^2\)
11. \(25a^{14}-36s^2=(5a^7+6s)(5a^7-6s)\)
12. \(49a^{10}-42a^5+9=(7a^5-3)^2\)