Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+16y+64\)
2. \(4p^2+4p+1\)
3. \(169x^{6}+312x^3y+144y^2\)
4. \(y^2-4\)
5. \(a^2-225\)
6. \(25-144y^{14}\)
7. \(49-144s^{16}\)
8. \(x^2-36\)
9. \(25y^{10}+110y^5+121\)
10. \(256b^2-25\)
11. \(4y^{4}+36y^2+81\)
12. \(-9y^2+16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+16y+64=(y+8)^2\)
2. \(4p^2+4p+1=(2p+1)^2\)
3. \(169x^{6}+312x^3y+144y^2=(13x^3+12y)^2\)
4. \(y^2-4=(y-2)(y+2)\)
5. \(a^2-225=(a+15)(a-15)\)
6. \(25-144y^{14}=(5-12y^7)(5+12y^7)\)
7. \(49-144s^{16}=(7-12s^8)(7+12s^8)\)
8. \(x^2-36=(x-6)(x+6)\)
9. \(25y^{10}+110y^5+121=(5y^5+11)^2\)
10. \(256b^2-25=(16b+5)(16b-5)\)
11. \(4y^{4}+36y^2+81=(2y^2+9)^2\)
12. \(-9y^2+16=(4-3y)(4+3y)\)