Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^{8}-1\)
2. \(49y^{10}-1\)
3. \(s^2-81\)
4. \(256a^{4}+160a^2s+25s^2\)
5. \(64a^{8}+16a^4x+1x^2\)
6. \(169q^2-156q+36\)
7. \(64q^{16}-9\)
8. \(9-100p^{16}\)
9. \(144a^2-121\)
10. \(121a^2+88a+16\)
11. \(x^2-4x+4\)
12. \(100y^{10}+140y^5+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^{8}-1=(16b^4+1)(16b^4-1)\)
2. \(49y^{10}-1=(7y^5+1)(7y^5-1)\)
3. \(s^2-81=(s-9)(s+9)\)
4. \(256a^{4}+160a^2s+25s^2=(16a^2+5s)^2\)
5. \(64a^{8}+16a^4x+1x^2=(8a^4+x)^2\)
6. \(169q^2-156q+36=(13q-6)^2\)
7. \(64q^{16}-9=(8q^8+3)(8q^8-3)\)
8. \(9-100p^{16}=(3-10p^8)(3+10p^8)\)
9. \(144a^2-121=(12a+11)(12a-11)\)
10. \(121a^2+88a+16=(11a+4)^2\)
11. \(x^2-4x+4=(x-2)^2\)
12. \(100y^{10}+140y^5+49=(10y^5+7)^2\)