Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36s^2-25\)
2. \(64b^{4}-112b^2+49\)
3. \(169a^{6}-312a^3+144\)
4. \(100b^{8}-60b^4x+9x^2\)
5. \(25x^{14}-36\)
6. \(121x^2-286x+169\)
7. \(81q^2-16a^{10}\)
8. \(100b^{12}-9s^2\)
9. \(p^2+10p+25\)
10. \(s^2-10s+25\)
11. \(a^2-36\)
12. \(256s^{4}-288s^2+81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36s^2-25=(6s+5)(6s-5)\)
2. \(64b^{4}-112b^2+49=(8b^2-7)^2\)
3. \(169a^{6}-312a^3+144=(13a^3-12)^2\)
4. \(100b^{8}-60b^4x+9x^2=(10b^4-3x)^2\)
5. \(25x^{14}-36=(5x^7+6)(5x^7-6)\)
6. \(121x^2-286x+169=(11x-13)^2\)
7. \(81q^2-16a^{10}=(9q-4a^5)(9q+4a^5)\)
8. \(100b^{12}-9s^2=(10b^6+3s)(10b^6-3s)\)
9. \(p^2+10p+25=(p+5)^2\)
10. \(s^2-10s+25=(s-5)^2\)
11. \(a^2-36=(a-6)(a+6)\)
12. \(256s^{4}-288s^2+81=(16s^2-9)^2\)