Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2+4b+4\)
2. \(s^2-10s+25\)
3. \(4s^{4}+28s^2+49\)
4. \(49q^{12}-169x^2\)
5. \(256y^2-288y+81\)
6. \(4y^2-225p^{6}\)
7. \(16b^{4}+8b^2s+1s^2\)
8. \(144b^{12}-25\)
9. \(a^2-9\)
10. \(a^2-4\)
11. \(169-225x^{16}\)
12. \(-169b^2+144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2+4b+4=(b+2)^2\)
2. \(s^2-10s+25=(s-5)^2\)
3. \(4s^{4}+28s^2+49=(2s^2+7)^2\)
4. \(49q^{12}-169x^2=(7q^6+13x)(7q^6-13x)\)
5. \(256y^2-288y+81=(16y-9)^2\)
6. \(4y^2-225p^{6}=(2y-15p^3)(2y+15p^3)\)
7. \(16b^{4}+8b^2s+1s^2=(4b^2+s)^2\)
8. \(144b^{12}-25=(12b^6+5)(12b^6-5)\)
9. \(a^2-9=(a-3)(a+3)\)
10. \(a^2-4=(a-2)(a+2)\)
11. \(169-225x^{16}=(13-15x^8)(13+15x^8)\)
12. \(-169b^2+144=(12-13b)(12+13b)\)