Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-64\)
2. \(81p^{8}-198p^4y+121y^2\)
3. \(p^2-64\)
4. \(-256a^2+25\)
5. \(144s^{4}+120s^2+25\)
6. \(64a^2+48a+9\)
7. \(9s^{6}+6s^3x+1x^2\)
8. \(s^2-10s+25\)
9. \(s^2-225\)
10. \(b^2-30b+225\)
11. \(s^2+30s+225\)
12. \(y^2+26y+169\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-64=(b+8)(b-8)\)
2. \(81p^{8}-198p^4y+121y^2=(9p^4-11y)^2\)
3. \(p^2-64=(p-8)(p+8)\)
4. \(-256a^2+25=(5-16a)(5+16a)\)
5. \(144s^{4}+120s^2+25=(12s^2+5)^2\)
6. \(64a^2+48a+9=(8a+3)^2\)
7. \(9s^{6}+6s^3x+1x^2=(3s^3+x)^2\)
8. \(s^2-10s+25=(s-5)^2\)
9. \(s^2-225=(s+15)(s-15)\)
10. \(b^2-30b+225=(b-15)^2\)
11. \(s^2+30s+225=(s+15)^2\)
12. \(y^2+26y+169=(y+13)^2\)