Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-64\)
2. \(81a^{6}+198a^3x+121x^2\)
3. \(196a^2-121\)
4. \(121x^2-225b^{16}\)
5. \(64p^{8}-112p^4+49\)
6. \(p^2-26p+169\)
7. \(-144b^2+1\)
8. \(b^2-22b+121\)
9. \(169q^2-16p^{8}\)
10. \(144s^{16}-49y^2\)
11. \(25b^{4}-1\)
12. \(a^2+16a+64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-64=(p+8)(p-8)\)
2. \(81a^{6}+198a^3x+121x^2=(9a^3+11x)^2\)
3. \(196a^2-121=(14a+11)(14a-11)\)
4. \(121x^2-225b^{16}=(11x-15b^8)(11x+15b^8)\)
5. \(64p^{8}-112p^4+49=(8p^4-7)^2\)
6. \(p^2-26p+169=(p-13)^2\)
7. \(-144b^2+1=(1-12b)(1+12b)\)
8. \(b^2-22b+121=(b-11)^2\)
9. \(169q^2-16p^{8}=(13q-4p^4)(13q+4p^4)\)
10. \(144s^{16}-49y^2=(12s^8+7y)(12s^8-7y)\)
11. \(25b^{4}-1=(5b^2+1)(5b^2-1)\)
12. \(a^2+16a+64=(a+8)^2\)