Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225b^{8}-121\)
2. \(s^2-100\)
3. \(1-100a^{12}\)
4. \(a^{16}-121p^2\)
5. \(256s^2+288s+81\)
6. \(196b^{10}-252b^5x+81x^2\)
7. \(-196s^2+225\)
8. \(144b^2+168b+49\)
9. \(225x^{10}-60x^5+4\)
10. \(36a^{4}-60a^2s+25s^2\)
11. \(x^2-26x+169\)
12. \(196x^{6}+308x^3+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225b^{8}-121=(15b^4+11)(15b^4-11)\)
2. \(s^2-100=(s+10)(s-10)\)
3. \(1-100a^{12}=(1-10a^6)(1+10a^6)\)
4. \(a^{16}-121p^2=(a^8+11p)(a^8-11p)\)
5. \(256s^2+288s+81=(16s+9)^2\)
6. \(196b^{10}-252b^5x+81x^2=(14b^5-9x)^2\)
7. \(-196s^2+225=(15-14s)(15+14s)\)
8. \(144b^2+168b+49=(12b+7)^2\)
9. \(225x^{10}-60x^5+4=(15x^5-2)^2\)
10. \(36a^{4}-60a^2s+25s^2=(6a^2-5s)^2\)
11. \(x^2-26x+169=(x-13)^2\)
12. \(196x^{6}+308x^3+121=(14x^3+11)^2\)