Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(s^2+8s+16\)
2. \(9a^{10}-48a^5p+64p^2\)
3. \(36p^2-132p+121\)
4. \(x^2-225\)
5. \(p^{16}-49y^2\)
6. \(169x^{6}-196y^2\)
7. \(81x^2+234x+169\)
8. \(169-225y^{8}\)
9. \(x^2+30x+225\)
10. \(169-4x^{8}\)
11. \(-81x^2+100\)
12. \(x^2-16\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(s^2+8s+16=(s+4)^2\)
2. \(9a^{10}-48a^5p+64p^2=(3a^5-8p)^2\)
3. \(36p^2-132p+121=(6p-11)^2\)
4. \(x^2-225=(x-15)(x+15)\)
5. \(p^{16}-49y^2=(p^8+7y)(p^8-7y)\)
6. \(169x^{6}-196y^2=(13x^3+14y)(13x^3-14y)\)
7. \(81x^2+234x+169=(9x+13)^2\)
8. \(169-225y^{8}=(13-15y^4)(13+15y^4)\)
9. \(x^2+30x+225=(x+15)^2\)
10. \(169-4x^{8}=(13-2x^4)(13+2x^4)\)
11. \(-81x^2+100=(10-9x)(10+9x)\)
12. \(x^2-16=(x+4)(x-4)\)