Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-25b^2+64\)
2. \(64q^{16}-9y^2\)
3. \(36p^{4}-132p^2+121\)
4. \(b^2+28b+196\)
5. \(196p^{4}+28p^2+1\)
6. \(121a^2-81\)
7. \(4b^{6}+4b^3x+1x^2\)
8. \(256p^2-49\)
9. \(q^2+26q+169\)
10. \(16y^{4}+40y^2+25\)
11. \(4p^{10}+4p^5+1\)
12. \(36p^2-60p+25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-25b^2+64=(8-5b)(8+5b)\)
2. \(64q^{16}-9y^2=(8q^8+3y)(8q^8-3y)\)
3. \(36p^{4}-132p^2+121=(6p^2-11)^2\)
4. \(b^2+28b+196=(b+14)^2\)
5. \(196p^{4}+28p^2+1=(14p^2+1)^2\)
6. \(121a^2-81=(11a+9)(11a-9)\)
7. \(4b^{6}+4b^3x+1x^2=(2b^3+x)^2\)
8. \(256p^2-49=(16p+7)(16p-7)\)
9. \(q^2+26q+169=(q+13)^2\)
10. \(16y^{4}+40y^2+25=(4y^2+5)^2\)
11. \(4p^{10}+4p^5+1=(2p^5+1)^2\)
12. \(36p^2-60p+25=(6p-5)^2\)