What is (2x+3)^3-4(x-2)^3 ?

The solution to (2x+3)^3-4(x-2)^3 is 4x^3+60x^2+6x+59

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x+3)^3-4(x-2)^3

simplify

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

4 x^{3} + 60 x^{2} + 6 x + 59

Solution steps

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

Expand

(2 x + 3)^{3} : 8 x^{3} + 36 x^{2} + 54 x + 27

= 8 x^{3} + 36 x^{2} + 54 x + 27 - 4 (x - 2)^{3}

Expand

- 4 (x - 2)^{3} : - 4 x^{3} + 24 x^{2} - 48 x + 32

= 8 x^{3} + 36 x^{2} + 54 x + 27 - 4 x^{3} + 24 x^{2} - 48 x + 32

Group like terms

= 8 x^{3} - 4 x^{3} + 36 x^{2} + 24 x^{2} + 54 x - 48 x + 27 + 32

Add similar elements:

8 x^{3} - 4 x^{3} = 4 x^{3}

= 4 x^{3} + 36 x^{2} + 24 x^{2} + 54 x - 48 x + 27 + 32

Add similar elements:

36 x^{2} + 24 x^{2} = 60 x^{2}

= 4 x^{3} + 60 x^{2} + 54 x - 48 x + 27 + 32

Add similar elements:

54 x - 48 x = 6 x

= 4 x^{3} + 60 x^{2} + 6 x + 27 + 32

Add the numbers:

27 + 32 = 59

= 4 x^{3} + 60 x^{2} + 6 x + 59

\frac{x ^{- 4} y ^{9}}{z ^{- 6}}

\frac{tan ( - x ) cos ^{2} ( - x )}{cos ( x )}

l^{- 1} \cdot [\frac{1}{( s ^{2} + 4 s + 4 )}]

v (\frac{( 1 - cos ( x ) )}{( 1 + cos ( x ) )})

m^{3} + 27

What is (2x+3)^3-4(x-2)^3 ?
The solution to (2x+3)^3-4(x-2)^3 is 4x^3+60x^2+6x+59