Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2+18p+81\)
2. \(49x^2-126x+81\)
3. \(100p^{8}+140p^4+49\)
4. \(s^2-25\)
5. \(81x^2-234x+169\)
6. \(q^2-36\)
7. \(q^2+2q+1\)
8. \(36b^2+156b+169\)
9. \(196x^{6}-81\)
10. \(a^2+4a+4\)
11. \(64-121q^{8}\)
12. \(64y^{6}-208y^3+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2+18p+81=(p+9)^2\)
2. \(49x^2-126x+81=(7x-9)^2\)
3. \(100p^{8}+140p^4+49=(10p^4+7)^2\)
4. \(s^2-25=(s-5)(s+5)\)
5. \(81x^2-234x+169=(9x-13)^2\)
6. \(q^2-36=(q+6)(q-6)\)
7. \(q^2+2q+1=(q+1)^2\)
8. \(36b^2+156b+169=(6b+13)^2\)
9. \(196x^{6}-81=(14x^3+9)(14x^3-9)\)
10. \(a^2+4a+4=(a+2)^2\)
11. \(64-121q^{8}=(8-11q^4)(8+11q^4)\)
12. \(64y^{6}-208y^3+169=(8y^3-13)^2\)