Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-64y^2+225\)
2. \(s^2-16s+64\)
3. \(s^2-100\)
4. \(y^2-14y+49\)
5. \(144p^{6}+264p^3+121\)
6. \(64a^{10}-80a^5+25\)
7. \(y^2+28y+196\)
8. \(4b^2+60b+225\)
9. \(100s^2-81\)
10. \(256a^{10}-121q^2\)
11. \(16b^2+8b+1\)
12. \(9q^{4}+24q^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-64y^2+225=(15-8y)(15+8y)\)
2. \(s^2-16s+64=(s-8)^2\)
3. \(s^2-100=(s-10)(s+10)\)
4. \(y^2-14y+49=(y-7)^2\)
5. \(144p^{6}+264p^3+121=(12p^3+11)^2\)
6. \(64a^{10}-80a^5+25=(8a^5-5)^2\)
7. \(y^2+28y+196=(y+14)^2\)
8. \(4b^2+60b+225=(2b+15)^2\)
9. \(100s^2-81=(10s+9)(10s-9)\)
10. \(256a^{10}-121q^2=(16a^5+11q)(16a^5-11q)\)
11. \(16b^2+8b+1=(4b+1)^2\)
12. \(9q^{4}+24q^2+16=(3q^2+4)^2\)