Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16s^2+88s+121\)
2. \(64a^{10}+144a^5+81\)
3. \(b^2+6b+9\)
4. \(b^2-25\)
5. \(b^2+12b+36\)
6. \(49x^2-100s^{14}\)
7. \(b^2-100\)
8. \(x^2-144\)
9. \(16y^2+40y+25\)
10. \(x^2-25\)
11. \(121s^{14}-49\)
12. \(-196x^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16s^2+88s+121=(4s+11)^2\)
2. \(64a^{10}+144a^5+81=(8a^5+9)^2\)
3. \(b^2+6b+9=(b+3)^2\)
4. \(b^2-25=(b+5)(b-5)\)
5. \(b^2+12b+36=(b+6)^2\)
6. \(49x^2-100s^{14}=(7x-10s^7)(7x+10s^7)\)
7. \(b^2-100=(b+10)(b-10)\)
8. \(x^2-144=(x-12)(x+12)\)
9. \(16y^2+40y+25=(4y+5)^2\)
10. \(x^2-25=(x-5)(x+5)\)
11. \(121s^{14}-49=(11s^7+7)(11s^7-7)\)
12. \(-196x^2+81=(9-14x)(9+14x)\)