Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^2-169\)
2. \(4p^2+4p+1\)
3. \(81p^2-256a^{12}\)
4. \(121p^{10}+154p^5+49\)
5. \(q^2-14q+49\)
6. \(100p^2-60p+9\)
7. \(-16y^2+169\)
8. \(a^2+24a+144\)
9. \(36b^{8}+12b^4+1\)
10. \(121p^{8}-44p^4y+4y^2\)
11. \(81x^{10}-144x^5+64\)
12. \(9x^2-100s^{16}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^2-169=(8s+13)(8s-13)\)
2. \(4p^2+4p+1=(2p+1)^2\)
3. \(81p^2-256a^{12}=(9p-16a^6)(9p+16a^6)\)
4. \(121p^{10}+154p^5+49=(11p^5+7)^2\)
5. \(q^2-14q+49=(q-7)^2\)
6. \(100p^2-60p+9=(10p-3)^2\)
7. \(-16y^2+169=(13-4y)(13+4y)\)
8. \(a^2+24a+144=(a+12)^2\)
9. \(36b^{8}+12b^4+1=(6b^4+1)^2\)
10. \(121p^{8}-44p^4y+4y^2=(11p^4-2y)^2\)
11. \(81x^{10}-144x^5+64=(9x^5-8)^2\)
12. \(9x^2-100s^{16}=(3x-10s^8)(3x+10s^8)\)