What is expand 400(15-(15+w)/2)(w-c) ?

The solution to expand 400(15-(15+w)/2)(w-c) is -200w^2+3000w-3000c+200cw

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 400(15-(15+w)/2)(w-c)

expand

400 (15 - \frac{15 + w}{2}) (w - c)

- 200 w^{2} + 3000 w - 3000 c + 200 c w

Solution steps

400 (15 - \frac{15 + w}{2}) (w - c)

Expand

400 (15 - \frac{15 + w}{2}) (w - c) : 400 (15 w - 15 c + \frac{- ( 15 + w ) w + ( 15 + w ) c}{2})

= 400 (15 w - 15 c + \frac{- ( 15 + w ) w + ( 15 + w ) c}{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

400 (15 w - 15 c + \frac{- ( 15 + w ) w + ( 15 + w ) c}{2}) = 400 \cdot 15 w + 400 (- 15 c) + 400 \cdot \frac{- ( 15 + w ) w + ( 15 + w ) c}{2}

= 400 \cdot 15 w + 400 (- 15 c) + 400 \cdot \frac{- ( 15 + w ) w + ( 15 + w ) c}{2}

Simplify

400 \cdot 15 w + 400 (- 15 c) + 400 \cdot \frac{- ( 15 + w ) w + ( 15 + w ) c}{2} : - 200 w^{2} + 3000 w - 3000 c + 200 c w

= - 200 w^{2} + 3000 w - 3000 c + 200 c w

(x^{2} - 5) (x + 6)^{'}

(3 cos (3 x) - 2 sin (3 x))^{2}

(x + y + z) (x + y + z)

- y (y - e^{2})

(1 - w + w^{2} - 1)^{2}

What is expand 400(15-(15+w)/2)(w-c) ?
The solution to expand 400(15-(15+w)/2)(w-c) is -200w^2+3000w-3000c+200cw