Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(p^2-121\)
2. \(16p^2-169\)
3. \(-9p^2+121\)
4. \(-25s^2+49\)
5. \(36y^2-121\)
6. \(x^2+22x+121\)
7. \(q^2-4\)
8. \(81p^{4}-72p^2y+16y^2\)
9. \(x^2+4x+4\)
10. \(36s^{10}-132s^5+121\)
11. \(p^2+16p+64\)
12. \(x^2-64\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(p^2-121=(p+11)(p-11)\)
2. \(16p^2-169=(4p+13)(4p-13)\)
3. \(-9p^2+121=(11-3p)(11+3p)\)
4. \(-25s^2+49=(7-5s)(7+5s)\)
5. \(36y^2-121=(6y+11)(6y-11)\)
6. \(x^2+22x+121=(x+11)^2\)
7. \(q^2-4=(q+2)(q-2)\)
8. \(81p^{4}-72p^2y+16y^2=(9p^2-4y)^2\)
9. \(x^2+4x+4=(x+2)^2\)
10. \(36s^{10}-132s^5+121=(6s^5-11)^2\)
11. \(p^2+16p+64=(p+8)^2\)
12. \(x^2-64=(x-8)(x+8)\)