What is (5x+6y)-(7x-8y) ?

The solution to (5x+6y)-(7x-8y) is -2x+14y

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simplify (5x+6y)-(7x-8y)

simplify

(5 x + 6 y) - (7 x - 8 y)

- 2 x + 14 y

Solution steps

(5 x + 6 y) - (7 x - 8 y)

Apply rule:

(a) = a

(5 x + 6 y) = 5 x + 6 y

= 5 x + 6 y - (7 x - 8 y)

Apply the distributive law:

- (a - b) = - a + b

- (7 x - 8 y) = - 7 x + 8 y

= 5 x + 6 y - 7 x + 8 y

Group like terms

= 5 x - 7 x + 6 y + 8 y

Add similar elements:

5 x - 7 x = - 2 x

= - 2 x + 6 y + 8 y

Add similar elements:

6 y + 8 y = 14 y

= - 2 x + 14 y

(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4}) + y^{8}

6 \cdot 21

(4 - 6 i) - (3 - 4 i)

9000 + 6000 - 400 \cdot 30

\frac{100}{2}