Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256a^2-225\)
2. \(q^2-81\)
3. \(196s^{8}+28s^4x+1x^2\)
4. \(b^2-8b+16\)
5. \(25s^2-121q^{6}\)
6. \(-4a^2+121\)
7. \(196p^{6}-121s^2\)
8. \(49a^{8}+140a^4y+100y^2\)
9. \(q^2-24q+144\)
10. \(25a^{6}+40a^3+16\)
11. \(x^2-49\)
12. \(64b^{4}-240b^2+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256a^2-225=(16a+15)(16a-15)\)
2. \(q^2-81=(q-9)(q+9)\)
3. \(196s^{8}+28s^4x+1x^2=(14s^4+x)^2\)
4. \(b^2-8b+16=(b-4)^2\)
5. \(25s^2-121q^{6}=(5s-11q^3)(5s+11q^3)\)
6. \(-4a^2+121=(11-2a)(11+2a)\)
7. \(196p^{6}-121s^2=(14p^3+11s)(14p^3-11s)\)
8. \(49a^{8}+140a^4y+100y^2=(7a^4+10y)^2\)
9. \(q^2-24q+144=(q-12)^2\)
10. \(25a^{6}+40a^3+16=(5a^3+4)^2\)
11. \(x^2-49=(x+7)(x-7)\)
12. \(64b^{4}-240b^2+225=(8b^2-15)^2\)