Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-16\)
2. \(16p^2-49\)
3. \(-225q^2+49\)
4. \(196q^{10}+140q^5+25\)
5. \(144q^{8}+120q^4y+25y^2\)
6. \(-16b^2+121\)
7. \(x^2-25\)
8. \(-144b^2+25\)
9. \(121b^{4}+44b^2q+4q^2\)
10. \(b^2-81\)
11. \(x^2-18x+81\)
12. \(1-256a^{6}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-16=(q+4)(q-4)\)
2. \(16p^2-49=(4p+7)(4p-7)\)
3. \(-225q^2+49=(7-15q)(7+15q)\)
4. \(196q^{10}+140q^5+25=(14q^5+5)^2\)
5. \(144q^{8}+120q^4y+25y^2=(12q^4+5y)^2\)
6. \(-16b^2+121=(11-4b)(11+4b)\)
7. \(x^2-25=(x+5)(x-5)\)
8. \(-144b^2+25=(5-12b)(5+12b)\)
9. \(121b^{4}+44b^2q+4q^2=(11b^2+2q)^2\)
10. \(b^2-81=(b-9)(b+9)\)
11. \(x^2-18x+81=(x-9)^2\)
12. \(1-256a^{6}=(1-16a^3)(1+16a^3)\)