Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-121p^{4}\)
2. \(p^2+26p+169\)
3. \(9a^{8}-12a^4+4\)
4. \(4y^2+4y+1\)
5. \(a^2+8a+16\)
6. \(-4b^2+25\)
7. \(16s^{6}+104s^3+169\)
8. \(16s^2-9q^{4}\)
9. \(144a^{6}+120a^3b+25b^2\)
10. \(49-16p^{10}\)
11. \(-9a^2+49\)
12. \(64p^{8}-80p^4+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-121p^{4}=(3y-11p^2)(3y+11p^2)\)
2. \(p^2+26p+169=(p+13)^2\)
3. \(9a^{8}-12a^4+4=(3a^4-2)^2\)
4. \(4y^2+4y+1=(2y+1)^2\)
5. \(a^2+8a+16=(a+4)^2\)
6. \(-4b^2+25=(5-2b)(5+2b)\)
7. \(16s^{6}+104s^3+169=(4s^3+13)^2\)
8. \(16s^2-9q^{4}=(4s-3q^2)(4s+3q^2)\)
9. \(144a^{6}+120a^3b+25b^2=(12a^3+5b)^2\)
10. \(49-16p^{10}=(7-4p^5)(7+4p^5)\)
11. \(-9a^2+49=(7-3a)(7+3a)\)
12. \(64p^{8}-80p^4+25=(8p^4-5)^2\)