What is (4x^2+x)-(x^2+2x) ?

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

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simplify (4x^2+x)-(x^2+2x)

simplify

(4 x^{2} + x) - (x^{2} + 2 x)

3 x^{2} - x

Solution steps

(4 x^{2} + x) - (x^{2} + 2 x)

Apply rule:

(a) = a

(4 x^{2} + x) = 4 x^{2} + x

= 4 x^{2} + x - (x^{2} + 2 x)

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

x - 2 x = - x

= 3 x^{2} - x

(d - 4 b)^{3}

48 x^{2} - 12 x^{3} - 24 x^{4}

80 p^{3}

x^{2} + 6 x + 9

6 x^{0}