Question 8 Arielle's cell phone plan has a monthly charge of \( \$ 50 \), plus \( \$ 5 \) for every gigabyte of data used. If her bill this month was \( \$ 120 \), detormine how many gigabytes sho usod this month by solving for \( x \) in the following equation: \( -120=-5 x-50 \) 34 gigabytes 22 gigabytes 10 gigabytes 14 gigabytes

4 \( \frac{4 x+1}{3}-\frac{3 x-1}{5}=\frac{35+x}{4} \)

Example 5: Factoring Using the Binomial Theorem: Wirite \( 1+10 x^{2}+40 x^{4}+80 x^{6}+80 x^{8}+32 x^{10} \) in the form \( (a+b)^{n} \).

164. DNK da vodorod bog'lari fosfoefir bog'laridan 172 ta ko'p. Vodorod boglari S nukloidlaridan 4,53 marta ko'p. DNK dagi nukloidlarini sonini toping. \( \begin{array}{llll}\text { A) } 180 & \text { B) } 110 & \text { C) } 150 & \text { D) } 170\end{array} \)

883. Прсобразуйте в многочлен: \( \begin{array}{lll}\text { a) }\left(4 m^{2}+5 n\right)^{2} ; & \text { в) }\left(2 x^{2}+5 y^{2}\right)^{2} ; & \text { д) }\left(\frac{1}{4} x^{2}-4 y^{3}\right)^{2} \\ \text { б) }\left(3 c-2 p^{3}\right)^{2} ; & \text { г) }\left(7 y^{3}-3 p^{2}\right)^{2} ; & \text { е) }\left(\frac{2}{5} a^{4}+\frac{1}{2} a^{3}\right)^{2}\end{array} \)

Factorize the expression \( x^{2}-1 \)