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

The solution to (3x^2-10x-2)-(6x+3) is 3x^2-16x-5

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

simplify

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

3 x^{2} - 16 x - 5

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

- (6 x + 3) = - 6 x - 3

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

Group like terms

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

Add similar elements:

- 10 x - 6 x = - 16 x

= 3 x^{2} - 16 x - 2 - 3

Subtract the numbers:

- 2 - 3 = - 5

= 3 x^{2} - 16 x - 5

(x^{2} + 2 x + 8) + (- x^{2} - 3 x - 7)

136 x

\frac{sin ( x ) tan ( x )}{cos ( x )}

(3 x^{2} - 8 x + 5) + (8 x^{2} + 2 x - 10)