What is (7x^2+x)-(9x^2+4x) ?

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

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simplify (7x^2+x)-(9x^2+4x)

simplify

(7 x^{2} + x) - (9 x^{2} + 4 x)

- 2 x^{2} - 3 x

Solution steps

(7 x^{2} + x) - (9 x^{2} + 4 x)

Apply rule:

(a) = a

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

= 7 x^{2} + x - (9 x^{2} + 4 x)

Apply the distributive law:

- (a + b) = - a - b

- (9 x^{2} + 4 x) = - 9 x^{2} - 4 x

= 7 x^{2} + x - 9 x^{2} - 4 x

Group like terms

= 7 x^{2} - 9 x^{2} + x - 4 x

Add similar elements:

7 x^{2} - 9 x^{2} = - 2 x^{2}

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

Add similar elements:

x - 4 x = - 3 x

= - 2 x^{2} - 3 x

- 3 x (2 x^{2})^{3} (- x^{2})^{4}

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

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

136 x

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