What is expand (4x^5+y^4)^2 ?

The solution to expand (4x^5+y^4)^2 is 16x^{10}+8x^5y^4+y^8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4x^5+y^4)^2

expand

(4 x^{5} + y^{4})^{2}

16 x^{10} + 8 x^{5} y^{4} + y^{8}

Solution steps

(4 x^{5} + y^{4})^{2}

Apply Perfect Square Formula:

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

(4 x^{5} + y^{4})^{2} = (4 x^{5})^{2} + 2 \cdot 4 x^{5} y^{4} + (y^{4})^{2}

= (4 x^{5})^{2} + 2 \cdot 4 x^{5} y^{4} + (y^{4})^{2}

Simplify

(4 x^{5})^{2} + 2 \cdot 4 x^{5} y^{4} + (y^{4})^{2} : 16 x^{10} + 8 x^{5} y^{4} + y^{8}

= 16 x^{10} + 8 x^{5} y^{4} + y^{8}

\frac{4}{5} + \frac{3}{8}

- 45 x^{2}

- \frac{2}{5} + \frac{4}{3}

345 + 35

x^{5} y^{2} - x y^{3}

What is expand (4x^5+y^4)^2 ?
The solution to expand (4x^5+y^4)^2 is 16x^{10}+8x^5y^4+y^8