Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64b^2+176b+121\)
2. \(-225x^2+196\)
3. \(169s^2+156s+36\)
4. \(16b^{8}+40b^4p+25p^2\)
5. \(16b^{16}-121\)
6. \(121-100x^{4}\)
7. \(16q^{10}-88q^5+121\)
8. \(25x^2-144b^{14}\)
9. \(x^2-49\)
10. \(169s^2-9b^{14}\)
11. \(49p^2+126p+81\)
12. \(x^2-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64b^2+176b+121=(8b+11)^2\)
2. \(-225x^2+196=(14-15x)(14+15x)\)
3. \(169s^2+156s+36=(13s+6)^2\)
4. \(16b^{8}+40b^4p+25p^2=(4b^4+5p)^2\)
5. \(16b^{16}-121=(4b^8+11)(4b^8-11)\)
6. \(121-100x^{4}=(11-10x^2)(11+10x^2)\)
7. \(16q^{10}-88q^5+121=(4q^5-11)^2\)
8. \(25x^2-144b^{14}=(5x-12b^7)(5x+12b^7)\)
9. \(x^2-49=(x+7)(x-7)\)
10. \(169s^2-9b^{14}=(13s-3b^7)(13s+3b^7)\)
11. \(49p^2+126p+81=(7p+9)^2\)
12. \(x^2-16=(x+4)(x-4)\)