Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64y^2+176y+121\)
2. \(-144p^2+169\)
3. \(1-196b^{10}\)
4. \(s^2+4s+4\)
5. \(b^{12}-16s^2\)
6. \(s^2+14s+49\)
7. \(36q^{4}-121y^2\)
8. \(x^2-49\)
9. \(4x^2-9s^{4}\)
10. \(121q^{10}-1\)
11. \(p^2-26p+169\)
12. \(256b^{16}-121p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64y^2+176y+121=(8y+11)^2\)
2. \(-144p^2+169=(13-12p)(13+12p)\)
3. \(1-196b^{10}=(1-14b^5)(1+14b^5)\)
4. \(s^2+4s+4=(s+2)^2\)
5. \(b^{12}-16s^2=(b^6+4s)(b^6-4s)\)
6. \(s^2+14s+49=(s+7)^2\)
7. \(36q^{4}-121y^2=(6q^2+11y)(6q^2-11y)\)
8. \(x^2-49=(x+7)(x-7)\)
9. \(4x^2-9s^{4}=(2x-3s^2)(2x+3s^2)\)
10. \(121q^{10}-1=(11q^5+1)(11q^5-1)\)
11. \(p^2-26p+169=(p-13)^2\)
12. \(256b^{16}-121p^2=(16b^8+11p)(16b^8-11p)\)