Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-121\)
2. \(49x^{4}+84x^2y+36y^2\)
3. \(25s^2+20s+4\)
4. \(4b^{10}+20b^5q+25q^2\)
5. \(100y^2-260y+169\)
6. \(81p^{10}-234p^5q+169q^2\)
7. \(q^2-24q+144\)
8. \(s^2-169\)
9. \(144b^{10}+24b^5+1\)
10. \(b^2-10b+25\)
11. \(144q^2-168q+49\)
12. \(a^2+30a+225\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-121=(a-11)(a+11)\)
2. \(49x^{4}+84x^2y+36y^2=(7x^2+6y)^2\)
3. \(25s^2+20s+4=(5s+2)^2\)
4. \(4b^{10}+20b^5q+25q^2=(2b^5+5q)^2\)
5. \(100y^2-260y+169=(10y-13)^2\)
6. \(81p^{10}-234p^5q+169q^2=(9p^5-13q)^2\)
7. \(q^2-24q+144=(q-12)^2\)
8. \(s^2-169=(s-13)(s+13)\)
9. \(144b^{10}+24b^5+1=(12b^5+1)^2\)
10. \(b^2-10b+25=(b-5)^2\)
11. \(144q^2-168q+49=(12q-7)^2\)
12. \(a^2+30a+225=(a+15)^2\)