Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^{4}+32b^2q+1q^2\)
2. \(25q^{10}+20q^5y+4y^2\)
3. \(x^2-100\)
4. \(q^2+14q+49\)
5. \(25q^{10}-40q^5+16\)
6. \(q^2-14q+49\)
7. \(256p^2+352p+121\)
8. \(121x^2-144\)
9. \(81p^2-169b^{12}\)
10. \(81s^{4}-169\)
11. \(100p^{4}+140p^2y+49y^2\)
12. \(q^2+20q+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^{4}+32b^2q+1q^2=(16b^2+q)^2\)
2. \(25q^{10}+20q^5y+4y^2=(5q^5+2y)^2\)
3. \(x^2-100=(x+10)(x-10)\)
4. \(q^2+14q+49=(q+7)^2\)
5. \(25q^{10}-40q^5+16=(5q^5-4)^2\)
6. \(q^2-14q+49=(q-7)^2\)
7. \(256p^2+352p+121=(16p+11)^2\)
8. \(121x^2-144=(11x+12)(11x-12)\)
9. \(81p^2-169b^{12}=(9p-13b^6)(9p+13b^6)\)
10. \(81s^{4}-169=(9s^2+13)(9s^2-13)\)
11. \(100p^{4}+140p^2y+49y^2=(10p^2+7y)^2\)
12. \(q^2+20q+100=(q+10)^2\)