What is (2x+5)^3+(5x-9)^3 ?

The solution to (2x+5)^3+(5x-9)^3 is 133x^3-615x^2+1365x-604

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x+5)^3+(5x-9)^3

simplify

(2 x + 5)^{3} + (5 x - 9)^{3}

133 x^{3} - 615 x^{2} + 1365 x - 604

Solution steps

(2 x + 5)^{3} + (5 x - 9)^{3}

Expand

(2 x + 5)^{3} : 8 x^{3} + 60 x^{2} + 150 x + 125

= 8 x^{3} + 60 x^{2} + 150 x + 125 + (5 x - 9)^{3}

Expand

(5 x - 9)^{3} : 125 x^{3} - 675 x^{2} + 1215 x - 729

= 8 x^{3} + 60 x^{2} + 150 x + 125 + 125 x^{3} - 675 x^{2} + 1215 x - 729

Group like terms

= 8 x^{3} + 125 x^{3} + 60 x^{2} - 675 x^{2} + 150 x + 1215 x + 125 - 729

Add similar elements:

8 x^{3} + 125 x^{3} = 133 x^{3}

= 133 x^{3} + 60 x^{2} - 675 x^{2} + 150 x + 1215 x + 125 - 729

Add similar elements:

60 x^{2} - 675 x^{2} = - 615 x^{2}

= 133 x^{3} - 615 x^{2} + 150 x + 1215 x + 125 - 729

Add similar elements:

150 x + 1215 x = 1365 x

= 133 x^{3} - 615 x^{2} + 1365 x + 125 - 729

Subtract the numbers:

125 - 729 = - 604

= 133 x^{3} - 615 x^{2} + 1365 x - 604

x^{3} + (y + z)^{3}

\frac{( x ^{- 3} ) ^{2}}{( x ^{2} ) ^{- 1}}

8 x^{3} - 8 y^{3}

8 a^{3} - 27 y^{3}

(x + 1) + (x + 1)

What is (2x+5)^3+(5x-9)^3 ?
The solution to (2x+5)^3+(5x-9)^3 is 133x^3-615x^2+1365x-604