Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16\)
2. \(196-121b^{12}\)
3. \(169b^{8}-16p^2\)
4. \(a^2-9\)
5. \(16b^{6}-9x^2\)
6. \(s^2-64\)
7. \(64s^{4}+16s^2x+1x^2\)
8. \(-16y^2+225\)
9. \(49y^2-84y+36\)
10. \(256a^{4}-225s^2\)
11. \(b^2-121\)
12. \(256y^{8}-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16=(q-4)(q+4)\)
2. \(196-121b^{12}=(14-11b^6)(14+11b^6)\)
3. \(169b^{8}-16p^2=(13b^4+4p)(13b^4-4p)\)
4. \(a^2-9=(a+3)(a-3)\)
5. \(16b^{6}-9x^2=(4b^3+3x)(4b^3-3x)\)
6. \(s^2-64=(s-8)(s+8)\)
7. \(64s^{4}+16s^2x+1x^2=(8s^2+x)^2\)
8. \(-16y^2+225=(15-4y)(15+4y)\)
9. \(49y^2-84y+36=(7y-6)^2\)
10. \(256a^{4}-225s^2=(16a^2+15s)(16a^2-15s)\)
11. \(b^2-121=(b-11)(b+11)\)
12. \(256y^{8}-81=(16y^4+9)(16y^4-9)\)