Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-9x^2+64\)
2. \(4x^2-81s^{10}\)
3. \(y^2-20y+100\)
4. \(36q^2-121\)
5. \(144y^{8}+312y^4+169\)
6. \(256y^2-480y+225\)
7. \(256b^{10}-480b^5+225\)
8. \(s^2+10s+25\)
9. \(b^2-49\)
10. \(4p^2-81\)
11. \(s^{16}-256y^2\)
12. \(100p^2-49\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-9x^2+64=(8-3x)(8+3x)\)
2. \(4x^2-81s^{10}=(2x-9s^5)(2x+9s^5)\)
3. \(y^2-20y+100=(y-10)^2\)
4. \(36q^2-121=(6q+11)(6q-11)\)
5. \(144y^{8}+312y^4+169=(12y^4+13)^2\)
6. \(256y^2-480y+225=(16y-15)^2\)
7. \(256b^{10}-480b^5+225=(16b^5-15)^2\)
8. \(s^2+10s+25=(s+5)^2\)
9. \(b^2-49=(b-7)(b+7)\)
10. \(4p^2-81=(2p+9)(2p-9)\)
11. \(s^{16}-256y^2=(s^8+16y)(s^8-16y)\)
12. \(100p^2-49=(10p+7)(10p-7)\)