Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36b^{6}-25s^2\)
2. \(9p^{8}+24p^4+16\)
3. \(y^2-144\)
4. \(49b^{14}-225q^2\)
5. \(s^2+8s+16\)
6. \(256s^2+160s+25\)
7. \(q^2-64\)
8. \(s^2-16\)
9. \(-64q^2+9\)
10. \(4x^{12}-49y^2\)
11. \(16s^{8}-81y^2\)
12. \(81-256x^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36b^{6}-25s^2=(6b^3+5s)(6b^3-5s)\)
2. \(9p^{8}+24p^4+16=(3p^4+4)^2\)
3. \(y^2-144=(y-12)(y+12)\)
4. \(49b^{14}-225q^2=(7b^7+15q)(7b^7-15q)\)
5. \(s^2+8s+16=(s+4)^2\)
6. \(256s^2+160s+25=(16s+5)^2\)
7. \(q^2-64=(q+8)(q-8)\)
8. \(s^2-16=(s-4)(s+4)\)
9. \(-64q^2+9=(3-8q)(3+8q)\)
10. \(4x^{12}-49y^2=(2x^6+7y)(2x^6-7y)\)
11. \(16s^{8}-81y^2=(4s^4+9y)(4s^4-9y)\)
12. \(81-256x^{6}=(9-16x^3)(9+16x^3)\)