en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (-x^2+4x)^2

Solution

expand

(- x^{2} + 4 x)^{2}

Solution

x^{4} - 8 x^{3} + 16 x^{2}

Solution steps

(- x^{2} + 4 x)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(- x^{2})^{2} + 2 (- x^{2}) \cdot 4 x + (4 x)^{2} : x^{4} - 8 x^{3} + 16 x^{2}

= x^{4} - 8 x^{3} + 16 x^{2}

Popular Examples

expand (3x-2)^{10}expand

(3 x - 2)^{10}

simplify 1/3*30 simplify

\frac{1}{3} \cdot 30

simplify (k/(10))^{-2}simplify

(\frac{k}{10})^{- 2}

simplify 4(1/10)^2 simplify

4 (\frac{1}{10})^{2}

simplify x+1/3 simplify

x + \frac{1}{3}

Frequently Asked Questions (FAQ)

What is expand (-x^2+4x)^2 ?
The solution to expand (-x^2+4x)^2 is x^4-8x^3+16x^2