Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+18q+81\)
2. \(64a^{8}+16a^4x+1x^2\)
3. \(256q^{4}+32q^2+1\)
4. \(100q^2+140q+49\)
5. \(121-144q^{6}\)
6. \(49y^2-4a^{8}\)
7. \(256q^{4}+160q^2y+25y^2\)
8. \(25x^{10}-140x^5y+196y^2\)
9. \(196-25x^{4}\)
10. \(s^2-100\)
11. \(25y^2-49s^{12}\)
12. \(49s^2-169a^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+18q+81=(q+9)^2\)
2. \(64a^{8}+16a^4x+1x^2=(8a^4+x)^2\)
3. \(256q^{4}+32q^2+1=(16q^2+1)^2\)
4. \(100q^2+140q+49=(10q+7)^2\)
5. \(121-144q^{6}=(11-12q^3)(11+12q^3)\)
6. \(49y^2-4a^{8}=(7y-2a^4)(7y+2a^4)\)
7. \(256q^{4}+160q^2y+25y^2=(16q^2+5y)^2\)
8. \(25x^{10}-140x^5y+196y^2=(5x^5-14y)^2\)
9. \(196-25x^{4}=(14-5x^2)(14+5x^2)\)
10. \(s^2-100=(s+10)(s-10)\)
11. \(25y^2-49s^{12}=(5y-7s^6)(5y+7s^6)\)
12. \(49s^2-169a^{10}=(7s-13a^5)(7s+13a^5)\)