Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-25\)
2. \(16b^2-88b+121\)
3. \(16x^{8}+8x^4+1\)
4. \(p^2-225\)
5. \(-64x^2+9\)
6. \(-81a^2+64\)
7. \(64y^{4}-208y^2+169\)
8. \(4x^{6}+4x^3+1\)
9. \(b^2+2b+1\)
10. \(169y^2-416y+256\)
11. \(16y^2-169\)
12. \(81p^{6}-36p^3y+4y^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-25=(p+5)(p-5)\)
2. \(16b^2-88b+121=(4b-11)^2\)
3. \(16x^{8}+8x^4+1=(4x^4+1)^2\)
4. \(p^2-225=(p+15)(p-15)\)
5. \(-64x^2+9=(3-8x)(3+8x)\)
6. \(-81a^2+64=(8-9a)(8+9a)\)
7. \(64y^{4}-208y^2+169=(8y^2-13)^2\)
8. \(4x^{6}+4x^3+1=(2x^3+1)^2\)
9. \(b^2+2b+1=(b+1)^2\)
10. \(169y^2-416y+256=(13y-16)^2\)
11. \(16y^2-169=(4y+13)(4y-13)\)
12. \(81p^{6}-36p^3y+4y^2=(9p^3-2y)^2\)