What is (5r-23)3-(5r+23) ?

The solution to (5r-23)3-(5r+23) is 10r-92

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simplify (5r-23)3-(5r+23)

simplify

(5 r - 23) 3 - (5 r + 23)

10 r - 92

Solution steps

(5 r - 23) \cdot 3 - (5 r + 23)

Apply the distributive law:

- (a + b) = - a - b

- (5 r + 23) = - 5 r - 23

= (5 r - 23) \cdot 3 - 5 r - 23

= 3 (5 r - 23) - 5 r - 23

Expand

3 (5 r - 23) : 15 r - 69

= 15 r - 69 - 5 r - 23

Group like terms

= 15 r - 5 r - 69 - 23

Add similar elements:

15 r - 5 r = 10 r

= 10 r - 69 - 23

Subtract the numbers:

- 69 - 23 = - 92

= 10 r - 92

x^{3} + 2197

- 5 m + 5 m

(x - d)^{2}

64 x^{6} - y^{9}

225 m^{2} - 100 n^{2}