What is (3x+4y-3z)-(2x-6y+7z) ?

The solution to (3x+4y-3z)-(2x-6y+7z) is x+10y-10z

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simplify (3x+4y-3z)-(2x-6y+7z)

simplify

(3 x + 4 y - 3 z) - (2 x - 6 y + 7 z)

x + 10 y - 10 z

Solution steps

(3 x + 4 y - 3 z) - (2 x - 6 y + 7 z)

Apply rule:

(a) = a

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

= 3 x + 4 y - 3 z - (2 x - 6 y + 7 z)

Apply the distributive law:

- (a - b) = - a + b

- (2 x - 6 y + 7 z) = - 2 x + 6 y - 7 z

= 3 x + 4 y - 3 z - 2 x + 6 y - 7 z

Group like terms

= 3 x - 2 x + 4 y + 6 y - 3 z - 7 z

Add similar elements:

3 x - 2 x = x

= x + 4 y + 6 y - 3 z - 7 z

Add similar elements:

4 y + 6 y = 10 y

= x + 10 y - 3 z - 7 z

Add similar elements:

- 3 z - 7 z = - 10 z

= x + 10 y - 10 z

24 x^{2} y + 36 x y

9 \cdot 1 0^{4}

\frac{22}{121}

(3 x + 4 y - 5 z)^{2}

(5 x^{2} y - 6 y)^{2}

What is (3x+4y-3z)-(2x-6y+7z) ?
The solution to (3x+4y-3z)-(2x-6y+7z) is x+10y-10z