Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196y^2-225q^{4}\)
2. \(225-121y^{14}\)
3. \(16a^{8}+72a^4y+81y^2\)
4. \(y^2-22y+121\)
5. \(64b^{6}-240b^3x+225x^2\)
6. \(a^2+2a+1\)
7. \(s^2+6s+9\)
8. \(36p^{10}+12p^5+1\)
9. \(b^2-36\)
10. \(121y^{16}-1\)
11. \(225y^{10}+240y^5+64\)
12. \(225s^{16}-64x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196y^2-225q^{4}=(14y-15q^2)(14y+15q^2)\)
2. \(225-121y^{14}=(15-11y^7)(15+11y^7)\)
3. \(16a^{8}+72a^4y+81y^2=(4a^4+9y)^2\)
4. \(y^2-22y+121=(y-11)^2\)
5. \(64b^{6}-240b^3x+225x^2=(8b^3-15x)^2\)
6. \(a^2+2a+1=(a+1)^2\)
7. \(s^2+6s+9=(s+3)^2\)
8. \(36p^{10}+12p^5+1=(6p^5+1)^2\)
9. \(b^2-36=(b-6)(b+6)\)
10. \(121y^{16}-1=(11y^8+1)(11y^8-1)\)
11. \(225y^{10}+240y^5+64=(15y^5+8)^2\)
12. \(225s^{16}-64x^2=(15s^8+8x)(15s^8-8x)\)