Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144x^2-1\)
2. \(b^2-12b+36\)
3. \(144b^2-264b+121\)
4. \(100s^{14}-121\)
5. \(25x^2-81q^{14}\)
6. \(225p^{12}-49x^2\)
7. \(9x^2+66x+121\)
8. \(25p^{4}-140p^2q+196q^2\)
9. \(x^2-49\)
10. \(256x^2-480x+225\)
11. \(4b^{6}+44b^3s+121s^2\)
12. \(q^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144x^2-1=(12x+1)(12x-1)\)
2. \(b^2-12b+36=(b-6)^2\)
3. \(144b^2-264b+121=(12b-11)^2\)
4. \(100s^{14}-121=(10s^7+11)(10s^7-11)\)
5. \(25x^2-81q^{14}=(5x-9q^7)(5x+9q^7)\)
6. \(225p^{12}-49x^2=(15p^6+7x)(15p^6-7x)\)
7. \(9x^2+66x+121=(3x+11)^2\)
8. \(25p^{4}-140p^2q+196q^2=(5p^2-14q)^2\)
9. \(x^2-49=(x-7)(x+7)\)
10. \(256x^2-480x+225=(16x-15)^2\)
11. \(4b^{6}+44b^3s+121s^2=(2b^3+11s)^2\)
12. \(q^2-81=(q-9)(q+9)\)