Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(36x^{4}+84x^2+49\)
- \(256y^{14}-49\)
- \(81y^2-36y+4\)
- \(4s^2+28s+49\)
- \(s^2+4s+4\)
- \(64a^2-240a+225\)
- \(36a^{4}-132a^2+121\)
- \(225q^{8}-4y^2\)
- \(a^2-25\)
- \(-169s^2+16\)
- \(100-9y^{10}\)
- \(64q^{10}-112q^5+49\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(36x^{4}+84x^2+49=(6x^2+7)^2\)
- \(256y^{14}-49=(16y^7+7)(16y^7-7)\)
- \(81y^2-36y+4=(9y-2)^2\)
- \(4s^2+28s+49=(2s+7)^2\)
- \(s^2+4s+4=(s+2)^2\)
- \(64a^2-240a+225=(8a-15)^2\)
- \(36a^{4}-132a^2+121=(6a^2-11)^2\)
- \(225q^{8}-4y^2=(15q^4+2y)(15q^4-2y)\)
- \(a^2-25=(a-5)(a+5)\)
- \(-169s^2+16=(4-13s)(4+13s)\)
- \(100-9y^{10}=(10-3y^5)(10+3y^5)\)
- \(64q^{10}-112q^5+49=(8q^5-7)^2\)