Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-196\)
2. \(p^2-49\)
3. \(144y^{16}-121\)
4. \(169s^{14}-144x^2\)
5. \(-36p^2+49\)
6. \(9a^{4}+48a^2s+64s^2\)
7. \(x^2-14x+49\)
8. \(q^2-20q+100\)
9. \(169q^{8}-78q^4+9\)
10. \(49x^{4}+56x^2+16\)
11. \(16b^{4}+72b^2+81\)
12. \(9y^2-256x^{12}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-196=(a-14)(a+14)\)
2. \(p^2-49=(p-7)(p+7)\)
3. \(144y^{16}-121=(12y^8+11)(12y^8-11)\)
4. \(169s^{14}-144x^2=(13s^7+12x)(13s^7-12x)\)
5. \(-36p^2+49=(7-6p)(7+6p)\)
6. \(9a^{4}+48a^2s+64s^2=(3a^2+8s)^2\)
7. \(x^2-14x+49=(x-7)^2\)
8. \(q^2-20q+100=(q-10)^2\)
9. \(169q^{8}-78q^4+9=(13q^4-3)^2\)
10. \(49x^{4}+56x^2+16=(7x^2+4)^2\)
11. \(16b^{4}+72b^2+81=(4b^2+9)^2\)
12. \(9y^2-256x^{12}=(3y-16x^6)(3y+16x^6)\)