What is (6-2x+7x^2)-(10x-3+3x^2) ?

The solution to (6-2x+7x^2)-(10x-3+3x^2) is 4x^2-12x+9

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simplify (6-2x+7x^2)-(10x-3+3x^2)

simplify

(6 - 2 x + 7 x^{2}) - (10 x - 3 + 3 x^{2})

4 x^{2} - 12 x + 9

Solution steps

(6 - 2 x + 7 x^{2}) - (10 x - 3 + 3 x^{2})

Apply rule:

(a) = a

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

= 6 - 2 x + 7 x^{2} - (10 x - 3 + 3 x^{2})

Apply the distributive law:

- (a - b) = - a + b

- (10 x - 3 + 3 x^{2}) = - 10 x + 3 - 3 x^{2}

= 6 - 2 x + 7 x^{2} - 10 x + 3 - 3 x^{2}

Group like terms

= 7 x^{2} - 3 x^{2} - 2 x - 10 x + 6 + 3

Add similar elements:

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

= 4 x^{2} - 2 x - 10 x + 6 + 3

Add similar elements:

- 2 x - 10 x = - 12 x

= 4 x^{2} - 12 x + 6 + 3

Add the numbers:

6 + 3 = 9

= 4 x^{2} - 12 x + 9

x 2 + 16 x + C

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

i^{146}

x^{5} + x

What is (6-2x+7x^2)-(10x-3+3x^2) ?
The solution to (6-2x+7x^2)-(10x-3+3x^2) is 4x^2-12x+9