Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^{8}-1\)
2. \(256s^{16}-121x^2\)
3. \(36q^2+12q+1\)
4. \(a^2+26a+169\)
5. \(-100y^2+1\)
6. \(81s^2-36s+4\)
7. \(q^2-4q+4\)
8. \(49x^2-225\)
9. \(169x^{4}-312x^2+144\)
10. \(81s^2-196p^{12}\)
11. \(b^2-2b+1\)
12. \(100a^{6}-60a^3p+9p^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^{8}-1=(6s^4+1)(6s^4-1)\)
2. \(256s^{16}-121x^2=(16s^8+11x)(16s^8-11x)\)
3. \(36q^2+12q+1=(6q+1)^2\)
4. \(a^2+26a+169=(a+13)^2\)
5. \(-100y^2+1=(1-10y)(1+10y)\)
6. \(81s^2-36s+4=(9s-2)^2\)
7. \(q^2-4q+4=(q-2)^2\)
8. \(49x^2-225=(7x+15)(7x-15)\)
9. \(169x^{4}-312x^2+144=(13x^2-12)^2\)
10. \(81s^2-196p^{12}=(9s-14p^6)(9s+14p^6)\)
11. \(b^2-2b+1=(b-1)^2\)
12. \(100a^{6}-60a^3p+9p^2=(10a^3-3p)^2\)