en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand-(2-3/m)^2

Solution

expand

- (2 - \frac{3}{m})^{2}

Solution

- \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

Solution steps

- (2 - \frac{3}{m})^{2}

Apply Perfect Square Formula:

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

(2 - \frac{3}{m})^{2} = 2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2}

= - (2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2})

Simplify

2^{2} - 2 \cdot 2 \cdot \frac{3}{m} + (\frac{3}{m})^{2} : \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

= - \frac{4 m ^{2} - 12 m + 9}{m ^{2}}

Popular Examples

expand (x-0.1)(x-0.3)(x-0.5)(x-0,8)expand

(x - 0.1) (x - 0.3) (x - 0.5) (x - 0, 8)

expand (e^x-x-1)^2 expand

(e^{x} - x - 1)^{2}

expand U((1+a^2)(y^2-x^2))expand

U ((1 + a^{2}) (y^{2} - x^{2}))

expand e^{(x^2)/2}(x^2-9)expand

e^{\frac{x ^{2}}{2}} (x^{2} - 9)

expand (x+2x^2)(sqrt(1+2x)+sqrt(1+3x))expand

(x + 2 x^{2}) (1 + 2 x + 1 + 3 x)

Frequently Asked Questions (FAQ)

What is expand-(2-3/m)^2 ?
The solution to expand-(2-3/m)^2 is -(4m^2-12m+9)/(m^2)