Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(169a^{8}+130a^4+25\)
2. \(x^2-25\)
3. \(16y^2+56y+49\)
4. \(49-36y^{4}\)
5. \(-169q^2+196\)
6. \(196b^2+28b+1\)
7. \(49y^2-4\)
8. \(225b^{8}-60b^4p+4p^2\)
9. \(256p^{16}-121x^2\)
10. \(4b^{10}+4b^5+1\)
11. \(4a^{8}-225b^2\)
12. \(100s^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(169a^{8}+130a^4+25=(13a^4+5)^2\)
2. \(x^2-25=(x+5)(x-5)\)
3. \(16y^2+56y+49=(4y+7)^2\)
4. \(49-36y^{4}=(7-6y^2)(7+6y^2)\)
5. \(-169q^2+196=(14-13q)(14+13q)\)
6. \(196b^2+28b+1=(14b+1)^2\)
7. \(49y^2-4=(7y+2)(7y-2)\)
8. \(225b^{8}-60b^4p+4p^2=(15b^4-2p)^2\)
9. \(256p^{16}-121x^2=(16p^8+11x)(16p^8-11x)\)
10. \(4b^{10}+4b^5+1=(2b^5+1)^2\)
11. \(4a^{8}-225b^2=(2a^4+15b)(2a^4-15b)\)
12. \(100s^2-81=(10s+9)(10s-9)\)