Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-81y^2+16\)
2. \(q^2+16q+64\)
3. \(225y^2-16q^{16}\)
4. \(16b^2-49\)
5. \(4s^{4}-25\)
6. \(4a^2-169\)
7. \(4x^2-49b^{8}\)
8. \(256a^{8}+224a^4b+49b^2\)
9. \(169b^{16}-64y^2\)
10. \(81a^{4}+144a^2p+64p^2\)
11. \(-4a^2+81\)
12. \(-36q^2+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-81y^2+16=(4-9y)(4+9y)\)
2. \(q^2+16q+64=(q+8)^2\)
3. \(225y^2-16q^{16}=(15y-4q^8)(15y+4q^8)\)
4. \(16b^2-49=(4b+7)(4b-7)\)
5. \(4s^{4}-25=(2s^2+5)(2s^2-5)\)
6. \(4a^2-169=(2a+13)(2a-13)\)
7. \(4x^2-49b^{8}=(2x-7b^4)(2x+7b^4)\)
8. \(256a^{8}+224a^4b+49b^2=(16a^4+7b)^2\)
9. \(169b^{16}-64y^2=(13b^8+8y)(13b^8-8y)\)
10. \(81a^{4}+144a^2p+64p^2=(9a^2+8p)^2\)
11. \(-4a^2+81=(9-2a)(9+2a)\)
12. \(-36q^2+121=(11-6q)(11+6q)\)