What is (3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2) ?

The solution to (3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2) is -3xz-2z

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2)

simplify

(3 x + 2) (x + y - z) - (3 x + 2) - (x + y - 1) (3 x + 2)

- 3 x z - 2 z

Solution steps

(3 x + 2) (x + y - z) - (3 x + 2) - (x + y - 1) (3 x + 2)

Apply the distributive law:

- (a + b) = - a - b

- (3 x + 2) = - 3 x - 2

= (3 x + 2) (x + y - z) - 3 x - 2 - (x + y - 1) (3 x + 2)

Expand

(3 x + 2) (x + y - z) : 3 x^{2} + 3 x y - 3 x z + 2 x + 2 y - 2 z

= 3 x^{2} + 3 x y - 3 x z + 2 x + 2 y - 2 z - 3 x - 2 - (x + y - 1) (3 x + 2)

Expand

- (x + y - 1) (3 x + 2) : - 3 x^{2} + x - 3 x y - 2 y + 2

= 3 x^{2} + 3 x y - 3 x z + 2 x + 2 y - 2 z - 3 x - 2 - 3 x^{2} + x - 3 x y - 2 y + 2

Group like terms

= 3 x^{2} - 3 x^{2} + 3 x y - 3 x y - 3 x z + 2 x - 3 x + x + 2 y - 2 y - 2 z - 2 + 2

Add similar elements:

3 x^{2} - 3 x^{2} = 0

= 3 x y - 3 x y - 3 x z + 2 x - 3 x + x + 2 y - 2 y - 2 z - 2 + 2

Add similar elements:

3 x y - 3 x y = 0

= - 3 x z + 2 x - 3 x + x + 2 y - 2 y - 2 z - 2 + 2

Add similar elements:

2 x - 3 x + x = 0

= - 3 x z + 2 y - 2 y - 2 z - 2 + 2

Add similar elements:

2 y - 2 y = 0

= - 3 x z - 2 z - 2 + 2

Add the numbers:

- 2 + 2 = 0

= - 3 x z - 2 z

27 u^{4} v^{5} - 63 u^{3} v^{6}

\frac{x ^{3} - 3 x ^{2}}{x + 8} \cdot \frac{x ^{2} - 64}{x ^{2} - 11 x + 24}

10 \cdot (- 2)

4 x^{5} - 2 x^{4} + 30 x^{3} - 15 x^{2} + 50 x - 25

0. 2^{- 2}

What is (3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2) ?
The solution to (3x+2)(x+y-z)-(3x+2)-(x+y-1)(3x+2) is -3xz-2z