Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169q^{6}+104q^3s+16s^2\)
2. \(b^2-100\)
3. \(100x^2-180x+81\)
4. \(s^2-169\)
5. \(144p^2+264p+121\)
6. \(196q^{10}+252q^5x+81x^2\)
7. \(169s^{6}-104s^3+16\)
8. \(q^2+10q+25\)
9. \(100a^{10}-1\)
10. \(1-121a^{8}\)
11. \(100a^2-49\)
12. \(q^2-225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169q^{6}+104q^3s+16s^2=(13q^3+4s)^2\)
2. \(b^2-100=(b+10)(b-10)\)
3. \(100x^2-180x+81=(10x-9)^2\)
4. \(s^2-169=(s-13)(s+13)\)
5. \(144p^2+264p+121=(12p+11)^2\)
6. \(196q^{10}+252q^5x+81x^2=(14q^5+9x)^2\)
7. \(169s^{6}-104s^3+16=(13s^3-4)^2\)
8. \(q^2+10q+25=(q+5)^2\)
9. \(100a^{10}-1=(10a^5+1)(10a^5-1)\)
10. \(1-121a^{8}=(1-11a^4)(1+11a^4)\)
11. \(100a^2-49=(10a+7)(10a-7)\)
12. \(q^2-225=(q+15)(q-15)\)