What is expand (3^x+9^y)^2 ?

The solution to expand (3^x+9^y)^2 is 9^x+2*3^{x+2y}+81^y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3^x+9^y)^2

expand

(3^{x} + 9^{y})^{2}

9^{x} + 2 \cdot 3^{x + 2 y} + 8 1^{y}

Solution steps

(3^{x} + 9^{y})^{2}

Apply Perfect Square Formula:

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

(3^{x} + 9^{y})^{2} = (3^{x})^{2} + 2 \cdot 3^{x} \cdot 9^{y} + (9^{y})^{2}

= (3^{x})^{2} + 2 \cdot 3^{x} \cdot 9^{y} + (9^{y})^{2}

Simplify

(3^{x})^{2} + 2 \cdot 3^{x} \cdot 9^{y} + (9^{y})^{2} : 9^{x} + 2 \cdot 3^{x + 2 y} + 8 1^{y}

= 9^{x} + 2 \cdot 3^{x + 2 y} + 8 1^{y}

(2 w + 3)^{6}

(2 x - y)^{2}

x^{2} y^{2} - x^{2} - 1 + y^{2}

x^{2} y^{2} + x^{2} - y^{2} - 1

(2 x - 8)^{3}

What is expand (3^x+9^y)^2 ?
The solution to expand (3^x+9^y)^2 is 9^x+2*3^{x+2y}+81^y