Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16p^2-225a^{4}\)
2. \(b^2-6b+9\)
3. \(225b^{8}-420b^4x+196x^2\)
4. \(49y^2-81p^{4}\)
5. \(196-121y^{8}\)
6. \(9s^{8}-66s^4+121\)
7. \(-16b^2+9\)
8. \(p^2-4\)
9. \(100a^{10}-9x^2\)
10. \(196b^2-121\)
11. \(121-225y^{8}\)
12. \(121-196b^{4}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16p^2-225a^{4}=(4p-15a^2)(4p+15a^2)\)
2. \(b^2-6b+9=(b-3)^2\)
3. \(225b^{8}-420b^4x+196x^2=(15b^4-14x)^2\)
4. \(49y^2-81p^{4}=(7y-9p^2)(7y+9p^2)\)
5. \(196-121y^{8}=(14-11y^4)(14+11y^4)\)
6. \(9s^{8}-66s^4+121=(3s^4-11)^2\)
7. \(-16b^2+9=(3-4b)(3+4b)\)
8. \(p^2-4=(p-2)(p+2)\)
9. \(100a^{10}-9x^2=(10a^5+3x)(10a^5-3x)\)
10. \(196b^2-121=(14b+11)(14b-11)\)
11. \(121-225y^{8}=(11-15y^4)(11+15y^4)\)
12. \(121-196b^{4}=(11-14b^2)(11+14b^2)\)