Question

Efectuati:
a)(2$\sqrt{3}$+x) la patrat=
b)(3$\sqrt{3}$x + 2$\sqrt{5}$) la patrat=
c)($\frac{1}{2}$x + 3) la patrat=
d)(3-2$\sqrt{3}$) la patrat=
e)(2$\sqrt{5}$ - 3$\sqrt{2}$x) la patrat=
f)(5$\sqrt{2}$x - 4$\sqrt{3}$y) la patrat=
Va rog multt <3

Answer 1

$a).(2 \sqrt{3} +x)^2=(2 \sqrt{3} )^2+2*2 \sqrt{3} *x+x^2=12+4x \sqrt{3} +x^2 \\ \\ b).(3 \sqrt{3} x+2 \sqrt{5} )^2=(3 \sqrt{3} x)^2+2*3 \sqrt{3} x*2 \sqrt{5} +(2 \sqrt{5} )^2= \\ \\ =27x^2+12x \sqrt{15} +20 \\ \\ c).( \frac{1}{2} x+3)^2=( \frac{1}{2} x)^2+2* \frac{1}{2} x*3+3^2= \frac{1}{4} x^2+3x+9 \\ \\ d)(3-2 \sqrt{3} )=3^2-2*3*2 \sqrt{3} +(2 \sqrt{3} )^2=9-12 \sqrt{3} +12=21-12 \sqrt{3}$

$e).(2 \sqrt{5} -3 \sqrt{2} x)^2=(2 \sqrt{5} )^2-2*2 \sqrt{5} *3 \sqrt{2} x+(3 \sqrt{2} x)^2= \\ \\ =20-12x \sqrt{10} +18x^2 \\ \\ f).(5 \sqrt{2} x-4 \sqrt{3} y)^2=(5 \sqrt{2} x)^2-2*5 \sqrt{2} x*4 \sqrt{3} y+(4 \sqrt{3} y)^2= \\ \\ =50x^2-40xy+48y^2$