Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^{4}+22p^2y+1y^2\)
2. \(64q^2+112q+49\)
3. \(p^2-1\)
4. \(p^2+6p+9\)
5. \(169y^2-416y+256\)
6. \(4a^2-9\)
7. \(16b^2+88b+121\)
8. \(1-144s^{12}\)
9. \(25s^{10}+110s^5y+121y^2\)
10. \(36y^{10}-132y^5+121\)
11. \(p^2-169\)
12. \(x^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^{4}+22p^2y+1y^2=(11p^2+y)^2\)
2. \(64q^2+112q+49=(8q+7)^2\)
3. \(p^2-1=(p-1)(p+1)\)
4. \(p^2+6p+9=(p+3)^2\)
5. \(169y^2-416y+256=(13y-16)^2\)
6. \(4a^2-9=(2a+3)(2a-3)\)
7. \(16b^2+88b+121=(4b+11)^2\)
8. \(1-144s^{12}=(1-12s^6)(1+12s^6)\)
9. \(25s^{10}+110s^5y+121y^2=(5s^5+11y)^2\)
10. \(36y^{10}-132y^5+121=(6y^5-11)^2\)
11. \(p^2-169=(p-13)(p+13)\)
12. \(x^2-144=(x+12)(x-12)\)