What is (7s-8r+4t)-(s+r-5t) ?

The solution to (7s-8r+4t)-(s+r-5t) is 6s-9r+9t

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simplify (7s-8r+4t)-(s+r-5t)

simplify

(7 s - 8 r + 4 t) - (s + r - 5 t)

6 s - 9 r + 9 t

Solution steps

(7 s - 8 r + 4 t) - (s + r - 5 t)

Apply rule:

(a) = a

(7 s - 8 r + 4 t) = 7 s - 8 r + 4 t

= 7 s - 8 r + 4 t - (s + r - 5 t)

Apply the distributive law:

- (a + b) = - a - b

- (s + r - 5 t) = - s - r + 5 t

= 7 s - 8 r + 4 t - s - r + 5 t

Group like terms

= 7 s - s - 8 r - r + 4 t + 5 t

Add similar elements:

7 s - s = 6 s

= 6 s - 8 r - r + 4 t + 5 t

Add similar elements:

- 8 r - r = - 9 r

= 6 s - 9 r + 4 t + 5 t

Add similar elements:

4 t + 5 t = 9 t

= 6 s - 9 r + 9 t

5 (2 x^{2} - 6 x) - (4 x^{2} - 3 x)

m + 5 c + 6 m + 2

(1) (1)

(8 x^{2}) (- 4 x^{3})