What is expand (3a-4b^2c^3)^2 ?

The solution to expand (3a-4b^2c^3)^2 is 9a^2-24ab^2c^3+16b^4c^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3a-4b^2c^3)^2

expand

(3 a - 4 b^{2} c^{3})^{2}

9 a^{2} - 24 a b^{2} c^{3} + 16 b^{4} c^{6}

Solution steps

(3 a - 4 b^{2} c^{3})^{2}

Apply Perfect Square Formula:

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

(3 a - 4 b^{2} c^{3})^{2} = (3 a)^{2} - 2 \cdot 3 a \cdot 4 b^{2} c^{3} + (4 b^{2} c^{3})^{2}

= (3 a)^{2} - 2 \cdot 3 a \cdot 4 b^{2} c^{3} + (4 b^{2} c^{3})^{2}

Simplify

(3 a)^{2} - 2 \cdot 3 a \cdot 4 b^{2} c^{3} + (4 b^{2} c^{3})^{2} : 9 a^{2} - 24 a b^{2} c^{3} + 16 b^{4} c^{6}

= 9 a^{2} - 24 a b^{2} c^{3} + 16 b^{4} c^{6}

49 + 25

- 9 \cdot (- 1)

- (8.9 d + 10 f) + 6.4

\frac{x - 8}{x ^{2} - 3 x - 40}

What is expand (3a-4b^2c^3)^2 ?
The solution to expand (3a-4b^2c^3)^2 is 9a^2-24ab^2c^3+16b^4c^6