Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225s^2-420s+196\)
2. \(b^2+16b+64\)
3. \(9s^{16}-16\)
4. \(25q^2-121\)
5. \(121s^{4}-154s^2+49\)
6. \(196x^{14}-9\)
7. \(4-9s^{14}\)
8. \(121y^{6}+154y^3+49\)
9. \(b^2+4b+4\)
10. \(p^2-9\)
11. \(225x^{16}-49y^2\)
12. \(-121y^2+1\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225s^2-420s+196=(15s-14)^2\)
2. \(b^2+16b+64=(b+8)^2\)
3. \(9s^{16}-16=(3s^8+4)(3s^8-4)\)
4. \(25q^2-121=(5q+11)(5q-11)\)
5. \(121s^{4}-154s^2+49=(11s^2-7)^2\)
6. \(196x^{14}-9=(14x^7+3)(14x^7-3)\)
7. \(4-9s^{14}=(2-3s^7)(2+3s^7)\)
8. \(121y^{6}+154y^3+49=(11y^3+7)^2\)
9. \(b^2+4b+4=(b+2)^2\)
10. \(p^2-9=(p-3)(p+3)\)
11. \(225x^{16}-49y^2=(15x^8+7y)(15x^8-7y)\)
12. \(-121y^2+1=(1-11y)(1+11y)\)