1. binomische Formel:

$(a+b{)}^2=a^2+2ab+b_{}^2(a+b)^2=a^2+2ab+b\_\{\; \}^2$

Vergleiche: ${(\mathrm{\square }+\mathrm{\square })}^2=\mathrm{\square }+36{\mathrm{x}}^4\mathrm{y}+\mathrm{\square }\backslash qquad\backslash mathrm\{\backslash left(\backslash square+\backslash square\backslash right)^2=\backslash square+36x^4y+\backslash square\}$

$2ab36x^{4}y2ab\; \backslash mathop\{\backslash widehat\{=\}\}\; 36x^4y$

Eine mögliche Lösung: $a=18x^{4}a=18x^4$ und $b=y\mathrm{.}b=y.$

$(18x^4+y{)}^2=324x^8+36x^{4}y+y^2(18x^4+y)^2=324x^8+36x^4y+y^2$