Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-121\)
2. \(225x^{6}+30x^3+1\)
3. \(100s^{10}-180s^5+81\)
4. \(s^2-100\)
5. \(4x^2-9b^{8}\)
6. \(196p^{16}-25\)
7. \(-9s^2+16\)
8. \(a^2-64\)
9. \(196x^{8}-81\)
10. \(q^2+2q+1\)
11. \(x^2-24x+144\)
12. \(81b^{8}-198b^4+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-121=(x-11)(x+11)\)
2. \(225x^{6}+30x^3+1=(15x^3+1)^2\)
3. \(100s^{10}-180s^5+81=(10s^5-9)^2\)
4. \(s^2-100=(s+10)(s-10)\)
5. \(4x^2-9b^{8}=(2x-3b^4)(2x+3b^4)\)
6. \(196p^{16}-25=(14p^8+5)(14p^8-5)\)
7. \(-9s^2+16=(4-3s)(4+3s)\)
8. \(a^2-64=(a+8)(a-8)\)
9. \(196x^{8}-81=(14x^4+9)(14x^4-9)\)
10. \(q^2+2q+1=(q+1)^2\)
11. \(x^2-24x+144=(x-12)^2\)
12. \(81b^{8}-198b^4+121=(9b^4-11)^2\)