en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3z+2k)^2

Solution

expand

(3 z + 2 k)^{2}

Solution

9 z^{2} + 12 z k + 4 k^{2}

Solution steps

(3 z + 2 k)^{2}

Apply Perfect Square Formula:

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

(3 z + 2 k)^{2} = (3 z)^{2} + 2 \cdot 3 z \cdot 2 k + (2 k)^{2}

= (3 z)^{2} + 2 \cdot 3 z \cdot 2 k + (2 k)^{2}

Simplify

(3 z)^{2} + 2 \cdot 3 z \cdot 2 k + (2 k)^{2} : 9 z^{2} + 12 z k + 4 k^{2}

= 9 z^{2} + 12 z k + 4 k^{2}

Popular Examples

factor 16x^2+4 factor

16 x^{2} + 4

simplify (5)^{1/2}simplify

(5)^{\frac{1}{2}}

7 1/2 \div 2 5/8

7 \frac{1}{2} \div 2 \frac{5}{8}

simplify x/3-1 simplify

\frac{x}{3} - 1

factor 1+1000x^6 factor

1 + 1000 x^{6}

Frequently Asked Questions (FAQ)

What is expand (3z+2k)^2 ?
The solution to expand (3z+2k)^2 is 9z^2+12zk+4k^2