What is (12x^2+3x)-(8x^2-19) ?

The solution to (12x^2+3x)-(8x^2-19) is 4x^2+3x+19

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simplify (12x^2+3x)-(8x^2-19)

simplify

(12 x^{2} + 3 x) - (8 x^{2} - 19)

4 x^{2} + 3 x + 19

Solution steps

(12 x^{2} + 3 x) - (8 x^{2} - 19)

Apply rule:

(a) = a

(12 x^{2} + 3 x) = 12 x^{2} + 3 x

= 12 x^{2} + 3 x - (8 x^{2} - 19)

Apply the distributive law:

- (a - b) = - a + b

- (8 x^{2} - 19) = - 8 x^{2} + 19

= 12 x^{2} + 3 x - 8 x^{2} + 19

Group like terms

= 12 x^{2} - 8 x^{2} + 3 x + 19

Add similar elements:

12 x^{2} - 8 x^{2} = 4 x^{2}

= 4 x^{2} + 3 x + 19

36 k^{2} - 1

(x^{2} + 3 x + 1)^{2}

(12 x^{- 4} y^{8})^{3}

5 - 2 (4 + - 10)

(64 a^{16})^{\frac{1}{4}}

What is (12x^2+3x)-(8x^2-19) ?
The solution to (12x^2+3x)-(8x^2-19) is 4x^2+3x+19