Ontbind in factoren door gebruik te maken van merkwaardige producten
- \(4s^2+4s+1\)
- \(9x^2-121\)
- \(169a^{10}-4q^2\)
- \(49b^{6}-140b^3p+100p^2\)
- \(25b^2-16\)
- \(144x^{8}-264x^4y+121y^2\)
- \(9b^{8}+24b^4s+16s^2\)
- \(s^2-121\)
- \(25s^{10}-49\)
- \(64q^{10}+16q^5+1\)
- \(256p^{10}+224p^5+49\)
- \(16p^{6}+8p^3x+1x^2\)
Ontbind in factoren door gebruik te maken van merkwaardige producten
Verbetersleutel
- \(4s^2+4s+1=(2s+1)^2\)
- \(9x^2-121=(3x+11)(3x-11)\)
- \(169a^{10}-4q^2=(13a^5+2q)(13a^5-2q)\)
- \(49b^{6}-140b^3p+100p^2=(7b^3-10p)^2\)
- \(25b^2-16=(5b+4)(5b-4)\)
- \(144x^{8}-264x^4y+121y^2=(12x^4-11y)^2\)
- \(9b^{8}+24b^4s+16s^2=(3b^4+4s)^2\)
- \(s^2-121=(s-11)(s+11)\)
- \(25s^{10}-49=(5s^5+7)(5s^5-7)\)
- \(64q^{10}+16q^5+1=(8q^5+1)^2\)
- \(256p^{10}+224p^5+49=(16p^5+7)^2\)
- \(16p^{6}+8p^3x+1x^2=(4p^3+x)^2\)