Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225q^2-64a^{8}\)
2. \(25s^2+140s+196\)
3. \(s^2-4\)
4. \(81y^2-169\)
5. \(b^2-6b+9\)
6. \(49a^{6}+42a^3x+9x^2\)
7. \(16q^{8}-169\)
8. \(196b^{16}-81q^2\)
9. \(-256s^2+9\)
10. \(225s^2-420s+196\)
11. \(81p^{8}+18p^4+1\)
12. \(a^2-36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225q^2-64a^{8}=(15q-8a^4)(15q+8a^4)\)
2. \(25s^2+140s+196=(5s+14)^2\)
3. \(s^2-4=(s+2)(s-2)\)
4. \(81y^2-169=(9y+13)(9y-13)\)
5. \(b^2-6b+9=(b-3)^2\)
6. \(49a^{6}+42a^3x+9x^2=(7a^3+3x)^2\)
7. \(16q^{8}-169=(4q^4+13)(4q^4-13)\)
8. \(196b^{16}-81q^2=(14b^8+9q)(14b^8-9q)\)
9. \(-256s^2+9=(3-16s)(3+16s)\)
10. \(225s^2-420s+196=(15s-14)^2\)
11. \(81p^{8}+18p^4+1=(9p^4+1)^2\)
12. \(a^2-36=(a-6)(a+6)\)