Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16x^2-120x+225\)
2. \(225q^{10}+240q^5+64\)
3. \(169x^2-52x+4\)
4. \(64p^2+112p+49\)
5. \(b^2-20b+100\)
6. \(100q^2-169\)
7. \(169q^2-312q+144\)
8. \(144p^{6}-264p^3y+121y^2\)
9. \(36y^2-1\)
10. \(9p^2-256a^{4}\)
11. \(y^2-24y+144\)
12. \(36a^2-121\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16x^2-120x+225=(4x-15)^2\)
2. \(225q^{10}+240q^5+64=(15q^5+8)^2\)
3. \(169x^2-52x+4=(13x-2)^2\)
4. \(64p^2+112p+49=(8p+7)^2\)
5. \(b^2-20b+100=(b-10)^2\)
6. \(100q^2-169=(10q+13)(10q-13)\)
7. \(169q^2-312q+144=(13q-12)^2\)
8. \(144p^{6}-264p^3y+121y^2=(12p^3-11y)^2\)
9. \(36y^2-1=(6y+1)(6y-1)\)
10. \(9p^2-256a^{4}=(3p-16a^2)(3p+16a^2)\)
11. \(y^2-24y+144=(y-12)^2\)
12. \(36a^2-121=(6a+11)(6a-11)\)