What is (4x+3y)+(5x-2y)-(3x-4y) ?

The solution to (4x+3y)+(5x-2y)-(3x-4y) is 6x+5y

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simplify (4x+3y)+(5x-2y)-(3x-4y)

simplify

(4 x + 3 y) + (5 x - 2 y) - (3 x - 4 y)

6 x + 5 y

Solution steps

(4 x + 3 y) + (5 x - 2 y) - (3 x - 4 y)

Simplify

(4 x + 3 y) + (5 x - 2 y) - (3 x - 4 y) : 4 x + 3 y + 5 x - 2 y - (3 x - 4 y)

= 4 x + 3 y + 5 x - 2 y - (3 x - 4 y)

Group like terms

= - (3 x - 4 y) + 4 x + 5 x + 3 y - 2 y

Add similar elements:

4 x + 5 x = 9 x

= - (3 x - 4 y) + 9 x + 3 y - 2 y

Add similar elements:

3 y - 2 y = y

= - (3 x - 4 y) + 9 x + y

Apply the distributive law:

- (a - b) = - a + b

- (3 x - 4 y) = - 3 x + 4 y

= - 3 x + 4 y + 9 x + y

Group like terms

= - 3 x + 9 x + 4 y + y

Add similar elements:

- 3 x + 9 x = 6 x

= 6 x + 4 y + y

Add similar elements:

4 y + y = 5 y

= 6 x + 5 y

36 x^{4} - 60 x^{2} y + 25 y^{2}

2 d^{2} - 13 d - 7

7 x^{2} + 14 x - 21

1 2^{2} + 1 0^{2}

(2 x)^{2}

What is (4x+3y)+(5x-2y)-(3x-4y) ?
The solution to (4x+3y)+(5x-2y)-(3x-4y) is 6x+5y