What is expand 10(x+3x^2)^2 ?

The solution to expand 10(x+3x^2)^2 is 10x^2+60x^3+90x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 10(x+3x^2)^2

expand

10 (x + 3 x^{2})^{2}

10 x^{2} + 60 x^{3} + 90 x^{4}

Solution steps

10 (x + 3 x^{2})^{2}

Expand

(x + 3 x^{2})^{2} : x^{2} + 6 x^{3} + 9 x^{4}

= 10 (x^{2} + 6 x^{3} + 9 x^{4})

Apply the distributive law:

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

10 (x^{2} + 6 x^{3} + 9 x^{4}) = 10 x^{2} + 10 \cdot 6 x^{3} + 10 \cdot 9 x^{4}

= 10 x^{2} + 10 \cdot 6 x^{3} + 10 \cdot 9 x^{4}

Simplify

10 x^{2} + 10 \cdot 6 x^{3} + 10 \cdot 9 x^{4} : 10 x^{2} + 60 x^{3} + 90 x^{4}

= 10 x^{2} + 60 x^{3} + 90 x^{4}

4 x^{2} + 6 x - 4

16 36 y^{4}

(5 - 7 i) - (3 - 2 i)

- 6 x + 5 x

- 3 \frac{1}{2} \div 1 \frac{1}{4}

What is expand 10(x+3x^2)^2 ?
The solution to expand 10(x+3x^2)^2 is 10x^2+60x^3+90x^4