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

The solution to (5x+3)^3+(x-5)^3 is 126x^3+210x^2+210x-98

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

simplify

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

126 x^{3} + 210 x^{2} + 210 x - 98

Solution steps

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

Expand

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

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

Expand

(x - 5)^{3} : x^{3} - 15 x^{2} + 75 x - 125

= 125 x^{3} + 225 x^{2} + 135 x + 27 + x^{3} - 15 x^{2} + 75 x - 125

Group like terms

= 125 x^{3} + x^{3} + 225 x^{2} - 15 x^{2} + 135 x + 75 x + 27 - 125

Add similar elements:

125 x^{3} + x^{3} = 126 x^{3}

= 126 x^{3} + 225 x^{2} - 15 x^{2} + 135 x + 75 x + 27 - 125

Add similar elements:

225 x^{2} - 15 x^{2} = 210 x^{2}

= 126 x^{3} + 210 x^{2} + 135 x + 75 x + 27 - 125

Add similar elements:

135 x + 75 x = 210 x

= 126 x^{3} + 210 x^{2} + 210 x + 27 - 125

Subtract the numbers:

27 - 125 = - 98

= 126 x^{3} + 210 x^{2} + 210 x - 98

72 \div 12

- 28 \div 7

3 x^{2} - 13 x + 10

\frac{63}{9}

What is (5x+3)^3+(x-5)^3 ?
The solution to (5x+3)^3+(x-5)^3 is 126x^3+210x^2+210x-98