Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81y^{4}-1\)
2. \(s^2-16\)
3. \(169a^2-312a+144\)
4. \(y^2+24y+144\)
5. \(25s^{10}+40s^5x+16x^2\)
6. \(169y^{8}+26y^4+1\)
7. \(x^2-26x+169\)
8. \(64b^{4}-225y^2\)
9. \(a^2+4a+4\)
10. \(a^2-225\)
11. \(121y^2-176y+64\)
12. \(49a^{6}+84a^3+36\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81y^{4}-1=(9y^2+1)(9y^2-1)\)
2. \(s^2-16=(s+4)(s-4)\)
3. \(169a^2-312a+144=(13a-12)^2\)
4. \(y^2+24y+144=(y+12)^2\)
5. \(25s^{10}+40s^5x+16x^2=(5s^5+4x)^2\)
6. \(169y^{8}+26y^4+1=(13y^4+1)^2\)
7. \(x^2-26x+169=(x-13)^2\)
8. \(64b^{4}-225y^2=(8b^2+15y)(8b^2-15y)\)
9. \(a^2+4a+4=(a+2)^2\)
10. \(a^2-225=(a-15)(a+15)\)
11. \(121y^2-176y+64=(11y-8)^2\)
12. \(49a^{6}+84a^3+36=(7a^3+6)^2\)