Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-225b^2+196\)
2. \(x^2+16x+64\)
3. \(x^2-16\)
4. \(121p^2-25\)
5. \(-16s^2+49\)
6. \(144p^{6}+264p^3q+121q^2\)
7. \(36b^{6}-60b^3x+25x^2\)
8. \(100b^{8}+140b^4y+49y^2\)
9. \(49p^{6}-182p^3x+169x^2\)
10. \(p^2-49\)
11. \(256a^{14}-225x^2\)
12. \(4b^2+44b+121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-225b^2+196=(14-15b)(14+15b)\)
2. \(x^2+16x+64=(x+8)^2\)
3. \(x^2-16=(x-4)(x+4)\)
4. \(121p^2-25=(11p+5)(11p-5)\)
5. \(-16s^2+49=(7-4s)(7+4s)\)
6. \(144p^{6}+264p^3q+121q^2=(12p^3+11q)^2\)
7. \(36b^{6}-60b^3x+25x^2=(6b^3-5x)^2\)
8. \(100b^{8}+140b^4y+49y^2=(10b^4+7y)^2\)
9. \(49p^{6}-182p^3x+169x^2=(7p^3-13x)^2\)
10. \(p^2-49=(p-7)(p+7)\)
11. \(256a^{14}-225x^2=(16a^7+15x)(16a^7-15x)\)
12. \(4b^2+44b+121=(2b+11)^2\)