Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-196\)
2. \(196b^{4}+28b^2x+1x^2\)
3. \(b^2-100\)
4. \(25b^2-64\)
5. \(-16a^2+1\)
6. \(36q^{14}-169s^2\)
7. \(196x^{10}-121\)
8. \(81x^{8}-1\)
9. \(q^2-25\)
10. \(100q^2-180q+81\)
11. \(64s^2-81\)
12. \(4a^{8}+4a^4y+1y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-196=(b-14)(b+14)\)
2. \(196b^{4}+28b^2x+1x^2=(14b^2+x)^2\)
3. \(b^2-100=(b-10)(b+10)\)
4. \(25b^2-64=(5b+8)(5b-8)\)
5. \(-16a^2+1=(1-4a)(1+4a)\)
6. \(36q^{14}-169s^2=(6q^7+13s)(6q^7-13s)\)
7. \(196x^{10}-121=(14x^5+11)(14x^5-11)\)
8. \(81x^{8}-1=(9x^4+1)(9x^4-1)\)
9. \(q^2-25=(q+5)(q-5)\)
10. \(100q^2-180q+81=(10q-9)^2\)
11. \(64s^2-81=(8s+9)(8s-9)\)
12. \(4a^{8}+4a^4y+1y^2=(2a^4+y)^2\)