Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64x^2+25\)
2. \(64a^{16}-121s^2\)
3. \(9x^{12}-16\)
4. \(144a^{8}+120a^4+25\)
5. \(9p^{8}-169y^2\)
6. \(p^2-9\)
7. \(a^2-6a+9\)
8. \(25p^{4}-36x^2\)
9. \(s^2+8s+16\)
10. \(q^2-64\)
11. \(256a^{4}+224a^2s+49s^2\)
12. \(a^2-24a+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64x^2+25=(5-8x)(5+8x)\)
2. \(64a^{16}-121s^2=(8a^8+11s)(8a^8-11s)\)
3. \(9x^{12}-16=(3x^6+4)(3x^6-4)\)
4. \(144a^{8}+120a^4+25=(12a^4+5)^2\)
5. \(9p^{8}-169y^2=(3p^4+13y)(3p^4-13y)\)
6. \(p^2-9=(p+3)(p-3)\)
7. \(a^2-6a+9=(a-3)^2\)
8. \(25p^{4}-36x^2=(5p^2+6x)(5p^2-6x)\)
9. \(s^2+8s+16=(s+4)^2\)
10. \(q^2-64=(q+8)(q-8)\)
11. \(256a^{4}+224a^2s+49s^2=(16a^2+7s)^2\)
12. \(a^2-24a+144=(a-12)^2\)