Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-25\)
2. \(p^2-18p+81\)
3. \(100s^2-1\)
4. \(225-121q^{8}\)
5. \(196b^{10}+252b^5x+81x^2\)
6. \(121-225b^{12}\)
7. \(-225a^2+196\)
8. \(144y^{8}-121\)
9. \(4b^{14}-121\)
10. \(49x^2-36q^{14}\)
11. \(36b^2-121\)
12. \(225q^2-210q+49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-25=(x+5)(x-5)\)
2. \(p^2-18p+81=(p-9)^2\)
3. \(100s^2-1=(10s+1)(10s-1)\)
4. \(225-121q^{8}=(15-11q^4)(15+11q^4)\)
5. \(196b^{10}+252b^5x+81x^2=(14b^5+9x)^2\)
6. \(121-225b^{12}=(11-15b^6)(11+15b^6)\)
7. \(-225a^2+196=(14-15a)(14+15a)\)
8. \(144y^{8}-121=(12y^4+11)(12y^4-11)\)
9. \(4b^{14}-121=(2b^7+11)(2b^7-11)\)
10. \(49x^2-36q^{14}=(7x-6q^7)(7x+6q^7)\)
11. \(36b^2-121=(6b+11)(6b-11)\)
12. \(225q^2-210q+49=(15q-7)^2\)