Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-49\)
2. \(225s^2-16\)
3. \(81y^2-4\)
4. \(256b^{10}+32b^5y+1y^2\)
5. \(169b^2-144\)
6. \(225x^{12}-121\)
7. \(196a^{10}-252a^5+81\)
8. \(s^2-100\)
9. \(64b^{10}+16b^5+1\)
10. \(b^2-1\)
11. \(16p^{8}+56p^4+49\)
12. \(81q^{10}-72q^5x+16x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-49=(b-7)(b+7)\)
2. \(225s^2-16=(15s+4)(15s-4)\)
3. \(81y^2-4=(9y+2)(9y-2)\)
4. \(256b^{10}+32b^5y+1y^2=(16b^5+y)^2\)
5. \(169b^2-144=(13b+12)(13b-12)\)
6. \(225x^{12}-121=(15x^6+11)(15x^6-11)\)
7. \(196a^{10}-252a^5+81=(14a^5-9)^2\)
8. \(s^2-100=(s-10)(s+10)\)
9. \(64b^{10}+16b^5+1=(8b^5+1)^2\)
10. \(b^2-1=(b+1)(b-1)\)
11. \(16p^{8}+56p^4+49=(4p^4+7)^2\)
12. \(81q^{10}-72q^5x+16x^2=(9q^5-4x)^2\)