Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196p^2+28p+1\)
2. \(144y^2-264y+121\)
3. \(y^2+30y+225\)
4. \(36a^2+132a+121\)
5. \(4x^2-25a^{12}\)
6. \(16x^{8}-81\)
7. \(4q^{8}+4q^4s+1s^2\)
8. \(121a^2-100\)
9. \(-144b^2+1\)
10. \(100y^2-121b^{16}\)
11. \(q^2+12q+36\)
12. \(49s^{4}-42s^2+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196p^2+28p+1=(14p+1)^2\)
2. \(144y^2-264y+121=(12y-11)^2\)
3. \(y^2+30y+225=(y+15)^2\)
4. \(36a^2+132a+121=(6a+11)^2\)
5. \(4x^2-25a^{12}=(2x-5a^6)(2x+5a^6)\)
6. \(16x^{8}-81=(4x^4+9)(4x^4-9)\)
7. \(4q^{8}+4q^4s+1s^2=(2q^4+s)^2\)
8. \(121a^2-100=(11a+10)(11a-10)\)
9. \(-144b^2+1=(1-12b)(1+12b)\)
10. \(100y^2-121b^{16}=(10y-11b^8)(10y+11b^8)\)
11. \(q^2+12q+36=(q+6)^2\)
12. \(49s^{4}-42s^2+9=(7s^2-3)^2\)