What is (4x^2-12x-10)-(2x^2+x-3) ?

The solution to (4x^2-12x-10)-(2x^2+x-3) is 2x^2-13x-7

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simplify (4x^2-12x-10)-(2x^2+x-3)

simplify

(4 x^{2} - 12 x - 10) - (2 x^{2} + x - 3)

2 x^{2} - 13 x - 7

Solution steps

(4 x^{2} - 12 x - 10) - (2 x^{2} + x - 3)

Apply rule:

(a) = a

(4 x^{2} - 12 x - 10) = 4 x^{2} - 12 x - 10

= 4 x^{2} - 12 x - 10 - (2 x^{2} + x - 3)

Apply the distributive law:

- (a + b) = - a - b

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

= 4 x^{2} - 12 x - 10 - 2 x^{2} - x + 3

Group like terms

= 4 x^{2} - 2 x^{2} - 12 x - x - 10 + 3

Add similar elements:

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

= 2 x^{2} - 12 x - x - 10 + 3

Add similar elements:

- 12 x - x = - 13 x

= 2 x^{2} - 13 x - 10 + 3

Add the numbers:

- 10 + 3 = - 7

= 2 x^{2} - 13 x - 7

\frac{3 ( a + b )}{5 ( a + b )}

\frac{6 \cdot 3}{9 - 1}

y^{2} + 3 y - 550

- (- a) [2 - 3]

(7 r - 6) (7 r + 6)

What is (4x^2-12x-10)-(2x^2+x-3) ?
The solution to (4x^2-12x-10)-(2x^2+x-3) is 2x^2-13x-7