Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+8y+16\)
2. \(256x^2+32x+1\)
3. \(a^2+12a+36\)
4. \(-36y^2+25\)
5. \(s^2-25\)
6. \(-100b^2+49\)
7. \(144q^{8}+24q^4y+1y^2\)
8. \(256s^2-288s+81\)
9. \(9p^{10}-25\)
10. \(p^2-4\)
11. \(16y^2+88y+121\)
12. \(b^2-6b+9\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+8y+16=(y+4)^2\)
2. \(256x^2+32x+1=(16x+1)^2\)
3. \(a^2+12a+36=(a+6)^2\)
4. \(-36y^2+25=(5-6y)(5+6y)\)
5. \(s^2-25=(s-5)(s+5)\)
6. \(-100b^2+49=(7-10b)(7+10b)\)
7. \(144q^{8}+24q^4y+1y^2=(12q^4+y)^2\)
8. \(256s^2-288s+81=(16s-9)^2\)
9. \(9p^{10}-25=(3p^5+5)(3p^5-5)\)
10. \(p^2-4=(p+2)(p-2)\)
11. \(16y^2+88y+121=(4y+11)^2\)
12. \(b^2-6b+9=(b-3)^2\)