Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16p^{16}-49\)
2. \(y^2-26y+169\)
3. \(-169p^2+121\)
4. \(64b^{4}-81p^2\)
5. \(9q^{4}+42q^2s+49s^2\)
6. \(-16x^2+25\)
7. \(x^2-121\)
8. \(49a^{16}-144b^2\)
9. \(225-16s^{16}\)
10. \(64p^{10}-49x^2\)
11. \(a^2-4a+4\)
12. \(144b^{10}+24b^5x+1x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16p^{16}-49=(4p^8+7)(4p^8-7)\)
2. \(y^2-26y+169=(y-13)^2\)
3. \(-169p^2+121=(11-13p)(11+13p)\)
4. \(64b^{4}-81p^2=(8b^2+9p)(8b^2-9p)\)
5. \(9q^{4}+42q^2s+49s^2=(3q^2+7s)^2\)
6. \(-16x^2+25=(5-4x)(5+4x)\)
7. \(x^2-121=(x-11)(x+11)\)
8. \(49a^{16}-144b^2=(7a^8+12b)(7a^8-12b)\)
9. \(225-16s^{16}=(15-4s^8)(15+4s^8)\)
10. \(64p^{10}-49x^2=(8p^5+7x)(8p^5-7x)\)
11. \(a^2-4a+4=(a-2)^2\)
12. \(144b^{10}+24b^5x+1x^2=(12b^5+x)^2\)