What is expand (xz^'+z)(2z+1) ?

The solution to expand (xz^'+z)(2z+1) is 2xz^{1+'}+xz^'+2z^2+z

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (xz^'+z)(2z+1)

expand

(x z^{^{'}} + z) (2 z + 1)

2 x z^{1 +'} + x z^{'} + 2 z^{2} + z

Solution steps

(x z^{^{'}} + z) (2 z + 1)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = x z^{^{'}}, b = z, c = 2 z, d = 1

= x z^{^{^{'}}} \cdot 2 z + x z^{^{^{'}}} \cdot 1 + z \cdot 2 z + z \cdot 1

= 2 x z z^{^{^{'}}} + 1 \cdot x z^{^{^{'}}} + 2 zz + 1 \cdot z

Simplify

2 x z z^{^{'}} + 1 \cdot x z^{^{'}} + 2 zz + 1 \cdot z : 2 x z^{1 +^{'}} + x z^{^{'}} + 2 z^{2} + z

= 2 x z^{1 +^{'}} + x z^{^{'}} + 2 z^{2} + z

P (1, - 3, 2) Q (2, 1, - 1)

\frac{d}{d x} ((x + 1) e^{- x}) + x

\frac{2 x ^{2} + 2 x - 4}{( 2 x + 1 ) ^{2}}

\frac{( x + 6 ) ^{2}}{4}

\frac{4 y - 3 ( x - 1 ) ^{2}}{z + 9}

What is expand (xz^'+z)(2z+1) ?
The solution to expand (xz^'+z)(2z+1) is 2xz^{1+'}+xz^'+2z^2+z