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

The solution to (2x+5)^3+(5x-3)^3 is 133x^3-165x^2+285x+98

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

simplify

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

133 x^{3} - 165 x^{2} + 285 x + 98

Solution steps

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

Expand

(5 x - 3)^{3} : 125 x^{3} - 225 x^{2} + 135 x - 27

= 8 x^{3} + 60 x^{2} + 150 x + 125 + 125 x^{3} - 225 x^{2} + 135 x - 27

Group like terms

= 8 x^{3} + 125 x^{3} + 60 x^{2} - 225 x^{2} + 150 x + 135 x + 125 - 27

Add similar elements:

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

= 133 x^{3} + 60 x^{2} - 225 x^{2} + 150 x + 135 x + 125 - 27

Add similar elements:

60 x^{2} - 225 x^{2} = - 165 x^{2}

= 133 x^{3} - 165 x^{2} + 150 x + 135 x + 125 - 27

Add similar elements:

150 x + 135 x = 285 x

= 133 x^{3} - 165 x^{2} + 285 x + 125 - 27

Subtract the numbers:

125 - 27 = 98

= 133 x^{3} - 165 x^{2} + 285 x + 98

2 \frac{\frac{x}{x}}{50} + \frac{x}{40}

x^{3} - 3 x^{2} + 3 x - 2

\frac{12 ( \frac{a ^{2}}{b ^{2}} ) + a}{b - 20}

(2 w - 1)^{3}

x^{3} - 3 x^{2} + 3 x - 9

What is (2x+5)^3+(5x-3)^3 ?
The solution to (2x+5)^3+(5x-3)^3 is 133x^3-165x^2+285x+98