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

The solution to (x+5)^3+(x-5)^3 is 2x^3+150x

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

simplify

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

2 x^{3} + 150 x

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

x^{3} + x^{3} = 2 x^{3}

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

Add similar elements:

15 x^{2} - 15 x^{2} = 0

= 2 x^{3} + 75 x + 75 x + 125 - 125

Add similar elements:

75 x + 75 x = 150 x

= 2 x^{3} + 150 x + 125 - 125

Subtract the numbers:

125 - 125 = 0

= 2 x^{3} + 150 x

(- 5.3) y (4.3)

3 a^{2} - 6 a + 27.3 a + 12 b

a^{2} - 4 b^{2} - 10 a + 25

(7 x) (2 x + 3 y)

5 a - 3 a - 7 - 2 - 7 a + a - a