Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-9p^2+100\)
2. \(-49x^2+225\)
3. \(225q^2-330q+121\)
4. \(16-49s^{8}\)
5. \(196p^2+140p+25\)
6. \(196s^{4}-225y^2\)
7. \(p^2-14p+49\)
8. \(x^2+2x+1\)
9. \(p^2-121\)
10. \(100a^2-180a+81\)
11. \(16a^{12}-49s^2\)
12. \(s^2-30s+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-9p^2+100=(10-3p)(10+3p)\)
2. \(-49x^2+225=(15-7x)(15+7x)\)
3. \(225q^2-330q+121=(15q-11)^2\)
4. \(16-49s^{8}=(4-7s^4)(4+7s^4)\)
5. \(196p^2+140p+25=(14p+5)^2\)
6. \(196s^{4}-225y^2=(14s^2+15y)(14s^2-15y)\)
7. \(p^2-14p+49=(p-7)^2\)
8. \(x^2+2x+1=(x+1)^2\)
9. \(p^2-121=(p+11)(p-11)\)
10. \(100a^2-180a+81=(10a-9)^2\)
11. \(16a^{12}-49s^2=(4a^6+7s)(4a^6-7s)\)
12. \(s^2-30s+225=(s-15)^2\)