Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2+24x+144\)
2. \(36a^{10}+12a^5+1\)
3. \(121y^{10}-176y^5+64\)
4. \(256s^{6}+288s^3y+81y^2\)
5. \(121x^2-36s^{4}\)
6. \(144s^{6}+24s^3x+1x^2\)
7. \(a^2-30a+225\)
8. \(144-25p^{12}\)
9. \(16a^{4}-56a^2+49\)
10. \(256b^2-1\)
11. \(4s^{8}-169\)
12. \(b^2-9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2+24x+144=(x+12)^2\)
2. \(36a^{10}+12a^5+1=(6a^5+1)^2\)
3. \(121y^{10}-176y^5+64=(11y^5-8)^2\)
4. \(256s^{6}+288s^3y+81y^2=(16s^3+9y)^2\)
5. \(121x^2-36s^{4}=(11x-6s^2)(11x+6s^2)\)
6. \(144s^{6}+24s^3x+1x^2=(12s^3+x)^2\)
7. \(a^2-30a+225=(a-15)^2\)
8. \(144-25p^{12}=(12-5p^6)(12+5p^6)\)
9. \(16a^{4}-56a^2+49=(4a^2-7)^2\)
10. \(256b^2-1=(16b+1)(16b-1)\)
11. \(4s^{8}-169=(2s^4+13)(2s^4-13)\)
12. \(b^2-9=(b+3)(b-3)\)