Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^2-196\)
2. \(169x^{8}+390x^4y+225y^2\)
3. \(y^2-225\)
4. \(s^2+22s+121\)
5. \(a^{10}-144b^2\)
6. \(s^2-14s+49\)
7. \(9p^2+12p+4\)
8. \(49-100s^{14}\)
9. \(36b^{6}-25\)
10. \(196b^{8}+28b^4x+1x^2\)
11. \(4a^2+4a+1\)
12. \(64y^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^2-196=(9q+14)(9q-14)\)
2. \(169x^{8}+390x^4y+225y^2=(13x^4+15y)^2\)
3. \(y^2-225=(y-15)(y+15)\)
4. \(s^2+22s+121=(s+11)^2\)
5. \(a^{10}-144b^2=(a^5+12b)(a^5-12b)\)
6. \(s^2-14s+49=(s-7)^2\)
7. \(9p^2+12p+4=(3p+2)^2\)
8. \(49-100s^{14}=(7-10s^7)(7+10s^7)\)
9. \(36b^{6}-25=(6b^3+5)(6b^3-5)\)
10. \(196b^{8}+28b^4x+1x^2=(14b^4+x)^2\)
11. \(4a^2+4a+1=(2a+1)^2\)
12. \(64y^2-225=(8y+15)(8y-15)\)