Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36b^2-25a^{4}\)
2. \(64p^{8}+240p^4y+225y^2\)
3. \(4y^2-169p^{16}\)
4. \(q^2+8q+16\)
5. \(b^2-100\)
6. \(16x^{8}-88x^4+121\)
7. \(s^2-4s+4\)
8. \(a^2-4\)
9. \(256p^2-121\)
10. \(q^2-6q+9\)
11. \(36q^{6}+156q^3+169\)
12. \(16-121q^{10}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36b^2-25a^{4}=(6b-5a^2)(6b+5a^2)\)
2. \(64p^{8}+240p^4y+225y^2=(8p^4+15y)^2\)
3. \(4y^2-169p^{16}=(2y-13p^8)(2y+13p^8)\)
4. \(q^2+8q+16=(q+4)^2\)
5. \(b^2-100=(b+10)(b-10)\)
6. \(16x^{8}-88x^4+121=(4x^4-11)^2\)
7. \(s^2-4s+4=(s-2)^2\)
8. \(a^2-4=(a-2)(a+2)\)
9. \(256p^2-121=(16p+11)(16p-11)\)
10. \(q^2-6q+9=(q-3)^2\)
11. \(36q^{6}+156q^3+169=(6q^3+13)^2\)
12. \(16-121q^{10}=(4-11q^5)(4+11q^5)\)