What is expand (5x^2y-3x^2)^2 ?

The solution to expand (5x^2y-3x^2)^2 is 25x^4y^2-30x^4y+9x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5x^2y-3x^2)^2

expand

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

25 x^{4} y^{2} - 30 x^{4} y + 9 x^{4}

Solution steps

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

Apply Perfect Square Formula:

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

(5 x^{2} y - 3 x^{2})^{2} = (5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 3 x^{2} + (3 x^{2})^{2}

= (5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 3 x^{2} + (3 x^{2})^{2}

Simplify

(5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 3 x^{2} + (3 x^{2})^{2} : 25 x^{4} y^{2} - 30 x^{4} y + 9 x^{4}

= 25 x^{4} y^{2} - 30 x^{4} y + 9 x^{4}

2 (x + 2)

(1 - 5 i) (- 5 + 3 i)

(3 x^{2} + 4) - (- 5 x^{2} + 4 x - 1)

\frac{1}{x} - \frac{1}{x ^{2}}

\frac{11}{8}

What is expand (5x^2y-3x^2)^2 ?
The solution to expand (5x^2y-3x^2)^2 is 25x^4y^2-30x^4y+9x^4