Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-121\)
2. \(x^2-121\)
3. \(144x^2+120x+25\)
4. \(49x^2-64b^{8}\)
5. \(225a^2-330a+121\)
6. \(25x^{10}+10x^5y+1y^2\)
7. \(4y^{10}+52y^5+169\)
8. \(b^2-6b+9\)
9. \(s^2-16\)
10. \(100p^{8}+20p^4+1\)
11. \(b^2-225\)
12. \(p^2-81\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-121=(y+11)(y-11)\)
2. \(x^2-121=(x-11)(x+11)\)
3. \(144x^2+120x+25=(12x+5)^2\)
4. \(49x^2-64b^{8}=(7x-8b^4)(7x+8b^4)\)
5. \(225a^2-330a+121=(15a-11)^2\)
6. \(25x^{10}+10x^5y+1y^2=(5x^5+y)^2\)
7. \(4y^{10}+52y^5+169=(2y^5+13)^2\)
8. \(b^2-6b+9=(b-3)^2\)
9. \(s^2-16=(s+4)(s-4)\)
10. \(100p^{8}+20p^4+1=(10p^4+1)^2\)
11. \(b^2-225=(b-15)(b+15)\)
12. \(p^2-81=(p-9)(p+9)\)