Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-225\)
2. \(p^2-225\)
3. \(100s^2-49\)
4. \(144a^{6}+24a^3x+1x^2\)
5. \(25a^2-70a+49\)
6. \(144q^{6}-25\)
7. \(64b^2-225\)
8. \(9s^2+24s+16\)
9. \(36a^2-121\)
10. \(144a^{4}+264a^2+121\)
11. \(9s^2-196a^{6}\)
12. \(256s^{4}-480s^2+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-225=(b+15)(b-15)\)
2. \(p^2-225=(p-15)(p+15)\)
3. \(100s^2-49=(10s+7)(10s-7)\)
4. \(144a^{6}+24a^3x+1x^2=(12a^3+x)^2\)
5. \(25a^2-70a+49=(5a-7)^2\)
6. \(144q^{6}-25=(12q^3+5)(12q^3-5)\)
7. \(64b^2-225=(8b+15)(8b-15)\)
8. \(9s^2+24s+16=(3s+4)^2\)
9. \(36a^2-121=(6a+11)(6a-11)\)
10. \(144a^{4}+264a^2+121=(12a^2+11)^2\)
11. \(9s^2-196a^{6}=(3s-14a^3)(3s+14a^3)\)
12. \(256s^{4}-480s^2+225=(16s^2-15)^2\)