Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(225p^2-4a^{8}\)
2. \(p^2-1\)
3. \(p^2-16\)
4. \(-9a^2+49\)
5. \(121-169a^{10}\)
6. \(x^2-30x+225\)
7. \(-256s^2+81\)
8. \(25b^2-140b+196\)
9. \(121q^{4}-81y^2\)
10. \(36b^{10}-132b^5p+121p^2\)
11. \(100b^{6}+140b^3p+49p^2\)
12. \(121s^{4}-196x^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(225p^2-4a^{8}=(15p-2a^4)(15p+2a^4)\)
2. \(p^2-1=(p+1)(p-1)\)
3. \(p^2-16=(p+4)(p-4)\)
4. \(-9a^2+49=(7-3a)(7+3a)\)
5. \(121-169a^{10}=(11-13a^5)(11+13a^5)\)
6. \(x^2-30x+225=(x-15)^2\)
7. \(-256s^2+81=(9-16s)(9+16s)\)
8. \(25b^2-140b+196=(5b-14)^2\)
9. \(121q^{4}-81y^2=(11q^2+9y)(11q^2-9y)\)
10. \(36b^{10}-132b^5p+121p^2=(6b^5-11p)^2\)
11. \(100b^{6}+140b^3p+49p^2=(10b^3+7p)^2\)
12. \(121s^{4}-196x^2=(11s^2+14x)(11s^2-14x)\)