What is factor 3x^3(x-2)+9x^2(x-2)^2 ?

The solution to factor 3x^3(x-2)+9x^2(x-2)^2 is 6x^2(x-2)(2x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 3x^3(x-2)+9x^2(x-2)^2

factor

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

6 x^{2} (x - 2) (2 x - 3)

Solution steps

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

Factor out common term

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

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

Expand

x + 3 (x - 2) : 4 x - 6

= 3 x^{2} (x - 2) (4 x - 6)

Factor

4 x - 6 : 2 (2 x - 3)

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

Multiply the numbers:

3 \cdot 2 = 6

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

1 7^{2} + 2 2^{2} = x^{2}

\frac{3 π}{2} \cdot 2

x^{2} - 2 x - 13 = 0

\frac{1}{81} < 9^{2 x - 4}

∣ 2 - 3 x ∣ + 3 < 8

What is factor 3x^3(x-2)+9x^2(x-2)^2 ?
The solution to factor 3x^3(x-2)+9x^2(x-2)^2 is 6x^2(x-2)(2x-3)