What is expand (3a^3+8b^4)^2 ?

The solution to expand (3a^3+8b^4)^2 is 9a^6+48a^3b^4+64b^8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3a^3+8b^4)^2

expand

(3 a^{3} + 8 b^{4})^{2}

9 a^{6} + 48 a^{3} b^{4} + 64 b^{8}

Solution steps

(3 a^{3} + 8 b^{4})^{2}

Apply Perfect Square Formula:

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

(3 a^{3} + 8 b^{4})^{2} = (3 a^{3})^{2} + 2 \cdot 3 a^{3} \cdot 8 b^{4} + (8 b^{4})^{2}

= (3 a^{3})^{2} + 2 \cdot 3 a^{3} \cdot 8 b^{4} + (8 b^{4})^{2}

Simplify

(3 a^{3})^{2} + 2 \cdot 3 a^{3} \cdot 8 b^{4} + (8 b^{4})^{2} : 9 a^{6} + 48 a^{3} b^{4} + 64 b^{8}

= 9 a^{6} + 48 a^{3} b^{4} + 64 b^{8}

2 \cdot (- 3)

3 x - x

\frac{5}{8}

x^{2} - y^{2} - x - y

4 \times 3

What is expand (3a^3+8b^4)^2 ?
The solution to expand (3a^3+8b^4)^2 is 9a^6+48a^3b^4+64b^8