Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-144\)
2. \(4y^2-25a^{4}\)
3. \(x^2-36\)
4. \(36p^{10}+156p^5x+169x^2\)
5. \(64s^2-112s+49\)
6. \(144q^{6}+24q^3s+1s^2\)
7. \(x^2-64\)
8. \(81-16b^{12}\)
9. \(p^2-4\)
10. \(144b^2+24b+1\)
11. \(225x^{10}+210x^5+49\)
12. \(64x^2+208x+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-144=(x-12)(x+12)\)
2. \(4y^2-25a^{4}=(2y-5a^2)(2y+5a^2)\)
3. \(x^2-36=(x-6)(x+6)\)
4. \(36p^{10}+156p^5x+169x^2=(6p^5+13x)^2\)
5. \(64s^2-112s+49=(8s-7)^2\)
6. \(144q^{6}+24q^3s+1s^2=(12q^3+s)^2\)
7. \(x^2-64=(x-8)(x+8)\)
8. \(81-16b^{12}=(9-4b^6)(9+4b^6)\)
9. \(p^2-4=(p-2)(p+2)\)
10. \(144b^2+24b+1=(12b+1)^2\)
11. \(225x^{10}+210x^5+49=(15x^5+7)^2\)
12. \(64x^2+208x+169=(8x+13)^2\)