Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100b^2-180b+81\)
2. \(64a^2-81\)
3. \(x^2-196\)
4. \(16s^{8}-56s^4y+49y^2\)
5. \(x^2-4\)
6. \(121b^{8}-144q^2\)
7. \(s^2+14s+49\)
8. \(s^2-144\)
9. \(9p^{4}-16\)
10. \(64p^{6}+16p^3+1\)
11. \(q^2-18q+81\)
12. \(x^2-20x+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100b^2-180b+81=(10b-9)^2\)
2. \(64a^2-81=(8a+9)(8a-9)\)
3. \(x^2-196=(x-14)(x+14)\)
4. \(16s^{8}-56s^4y+49y^2=(4s^4-7y)^2\)
5. \(x^2-4=(x+2)(x-2)\)
6. \(121b^{8}-144q^2=(11b^4+12q)(11b^4-12q)\)
7. \(s^2+14s+49=(s+7)^2\)
8. \(s^2-144=(s+12)(s-12)\)
9. \(9p^{4}-16=(3p^2+4)(3p^2-4)\)
10. \(64p^{6}+16p^3+1=(8p^3+1)^2\)
11. \(q^2-18q+81=(q-9)^2\)
12. \(x^2-20x+100=(x-10)^2\)