What is (3x^2+2xy+7)-(6x^2-4xy+3) ?

The solution to (3x^2+2xy+7)-(6x^2-4xy+3) is -3x^2+6xy+4

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simplify (3x^2+2xy+7)-(6x^2-4xy+3)

simplify

(3 x^{2} + 2 x y + 7) - (6 x^{2} - 4 x y + 3)

- 3 x^{2} + 6 x y + 4

Solution steps

(3 x^{2} + 2 x y + 7) - (6 x^{2} - 4 x y + 3)

Apply rule:

(a) = a

(3 x^{2} + 2 x y + 7) = 3 x^{2} + 2 x y + 7

= 3 x^{2} + 2 x y + 7 - (6 x^{2} - 4 x y + 3)

Apply the distributive law:

- (a - b) = - a + b

- (6 x^{2} - 4 x y + 3) = - 6 x^{2} + 4 x y - 3

= 3 x^{2} + 2 x y + 7 - 6 x^{2} + 4 x y - 3

Group like terms

= 3 x^{2} - 6 x^{2} + 2 x y + 4 x y + 7 - 3

Add similar elements:

3 x^{2} - 6 x^{2} = - 3 x^{2}

= - 3 x^{2} + 2 x y + 4 x y + 7 - 3

Add similar elements:

2 x y + 4 x y = 6 x y

= - 3 x^{2} + 6 x y + 7 - 3

Subtract the numbers:

7 - 3 = 4

= - 3 x^{2} + 6 x y + 4

8 x^{2} = 64

(2 y - 5) - 8 = (3 - y) + 2

4 a^{2} + 4 a - 80

32 = - 2 (2) - 8

- (x + 8) - 2 x < - 4 (x - 1) - 5 x

What is (3x^2+2xy+7)-(6x^2-4xy+3) ?
The solution to (3x^2+2xy+7)-(6x^2-4xy+3) is -3x^2+6xy+4