What is (5x+5y)-(-x+10y) ?

The solution to (5x+5y)-(-x+10y) is 6x-5y

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simplify (5x+5y)-(-x+10y)

simplify

(5 x + 5 y) - (- x + 10 y)

6 x - 5 y

Solution steps

(5 x + 5 y) - (- x + 10 y)

Apply rule:

(a) = a

(5 x + 5 y) = 5 x + 5 y

= 5 x + 5 y - (- x + 10 y)

Apply the distributive law:

- (- a + b) = a - b

- (- x + 10 y) = x - 10 y

= 5 x + 5 y + x - 10 y

Group like terms

= 5 x + x + 5 y - 10 y

Add similar elements:

5 x + x = 6 x

= 6 x + 5 y - 10 y

Add similar elements:

5 y - 10 y = - 5 y

= 6 x - 5 y

y \times 1

3 \times 16

\frac{x ^{2} - 1}{x ^{2} + 2 x - 3}

\frac{14}{y ^{2}}

- \frac{2 i}{1 + i}