Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2+12q+36\)
2. \(b^2-225\)
3. \(p^2-81\)
4. \(p^2-36\)
5. \(49x^2-9p^{14}\)
6. \(-196q^2+9\)
7. \(9x^{4}-16\)
8. \(q^2-100\)
9. \(121y^2-1\)
10. \(25p^2+10p+1\)
11. \(-9y^2+49\)
12. \(121q^2-220q+100\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2+12q+36=(q+6)^2\)
2. \(b^2-225=(b+15)(b-15)\)
3. \(p^2-81=(p+9)(p-9)\)
4. \(p^2-36=(p-6)(p+6)\)
5. \(49x^2-9p^{14}=(7x-3p^7)(7x+3p^7)\)
6. \(-196q^2+9=(3-14q)(3+14q)\)
7. \(9x^{4}-16=(3x^2+4)(3x^2-4)\)
8. \(q^2-100=(q+10)(q-10)\)
9. \(121y^2-1=(11y+1)(11y-1)\)
10. \(25p^2+10p+1=(5p+1)^2\)
11. \(-9y^2+49=(7-3y)(7+3y)\)
12. \(121q^2-220q+100=(11q-10)^2\)