en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 3(x-3)^2

Solution

expand

3 (x - 3)^{2}

Solution

3 x^{2} - 18 x + 27

Solution steps

3 (x - 3)^{2}

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= 3 (x^{2} - 6 x + 9)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 (x^{2} - 6 x + 9) = 3 x^{2} + 3 (- 6 x) + 3 \cdot 9

= 3 x^{2} + 3 (- 6 x) + 3 \cdot 9

Simplify

3 x^{2} + 3 (- 6 x) + 3 \cdot 9 : 3 x^{2} - 18 x + 27

= 3 x^{2} - 18 x + 27

Popular Examples

simplify (x^2+y^2-1)^3-x^2y^3 simplify

(x^{2} + y^{2} - 1)^{3} - x^{2} y^{3}

simplify 2(1/x)simplify

2 (\frac{1}{x})

expand (6p^5+5q^6)^2 expand

(6 p^{5} + 5 q^{6})^{2}

simplify ((x^2+x-20))/((x+5))simplify

\frac{( x ^{2} + x - 20 )}{( x + 5 )}

simplify sqrt(16x^5)simplify

16 x^{5}

Frequently Asked Questions (FAQ)

What is expand 3(x-3)^2 ?
The solution to expand 3(x-3)^2 is 3x^2-18x+27