Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^2+32b+1\)
2. \(b^2+8b+16\)
3. \(p^2+14p+49\)
4. \(121s^2-154s+49\)
5. \(25y^2-40y+16\)
6. \(16x^{14}-9\)
7. \(16b^{6}+56b^3s+49s^2\)
8. \(4q^2-49b^{6}\)
9. \(y^2+22y+121\)
10. \(64x^2+240x+225\)
11. \(9p^{4}-84p^2+196\)
12. \(25s^2-144\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^2+32b+1=(16b+1)^2\)
2. \(b^2+8b+16=(b+4)^2\)
3. \(p^2+14p+49=(p+7)^2\)
4. \(121s^2-154s+49=(11s-7)^2\)
5. \(25y^2-40y+16=(5y-4)^2\)
6. \(16x^{14}-9=(4x^7+3)(4x^7-3)\)
7. \(16b^{6}+56b^3s+49s^2=(4b^3+7s)^2\)
8. \(4q^2-49b^{6}=(2q-7b^3)(2q+7b^3)\)
9. \(y^2+22y+121=(y+11)^2\)
10. \(64x^2+240x+225=(8x+15)^2\)
11. \(9p^{4}-84p^2+196=(3p^2-14)^2\)
12. \(25s^2-144=(5s+12)(5s-12)\)