What is expand (2log_{n}(x)+y)^2 ?

The solution to expand (2log_{n}(x)+y)^2 is 4log_{n}(x)^2+4ylog_{n}(x)+y^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2log_{n}(x)+y)^2

expand

(2 lo g_{n} (x) + y)^{2}

4 lo g_{n} (x)^{2} + 4 y lo g_{n} (x) + y^{2}

Solution steps

(2 lo g_{n} (x) + y)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(2 lo g_{n} (x) + y)^{2} = (2 lo g_{n} (x))^{2} + 2 \cdot 2 lo g_{n} (x) y + y^{2}

= (2 lo g_{n} (x))^{2} + 2 \cdot 2 lo g_{n} (x) y + y^{2}

Simplify

(2 lo g_{n} (x))^{2} + 2 \cdot 2 lo g_{n} (x) y + y^{2} : 4 lo g_{n} (x)^{2} + 4 y lo g_{n} (x) + y^{2}

= 4 lo g_{n} (x)^{2} + 4 y lo g_{n} (x) + y^{2}

(\frac{1}{1 - x})^{3}

2 e^{2 (\frac{3}{5} + 1)}

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 9 )}

\frac{25 ( x - 2 )}{58}

(π - x) cos (x)

What is expand (2log_{n}(x)+y)^2 ?
The solution to expand (2log_{n}(x)+y)^2 is 4log_{n}(x)^2+4ylog_{n}(x)+y^2