Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^{4}-1\)
2. \(p^2-49\)
3. \(169x^2-390x+225\)
4. \(256p^{8}-288p^4q+81q^2\)
5. \(4b^2+4b+1\)
6. \(9y^2-64q^{8}\)
7. \(q^2+22q+121\)
8. \(-256b^2+169\)
9. \(64s^{6}+208s^3+169\)
10. \(121q^{8}-64\)
11. \(x^2-4\)
12. \(256x^2-160x+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^{4}-1=(7a^2+1)(7a^2-1)\)
2. \(p^2-49=(p+7)(p-7)\)
3. \(169x^2-390x+225=(13x-15)^2\)
4. \(256p^{8}-288p^4q+81q^2=(16p^4-9q)^2\)
5. \(4b^2+4b+1=(2b+1)^2\)
6. \(9y^2-64q^{8}=(3y-8q^4)(3y+8q^4)\)
7. \(q^2+22q+121=(q+11)^2\)
8. \(-256b^2+169=(13-16b)(13+16b)\)
9. \(64s^{6}+208s^3+169=(8s^3+13)^2\)
10. \(121q^{8}-64=(11q^4+8)(11q^4-8)\)
11. \(x^2-4=(x+2)(x-2)\)
12. \(256x^2-160x+25=(16x-5)^2\)