What is (3x^2-7x)-(4x^2+6x) ?

The solution to (3x^2-7x)-(4x^2+6x) is -x^2-13x

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simplify (3x^2-7x)-(4x^2+6x)

simplify

(3 x^{2} - 7 x) - (4 x^{2} + 6 x)

- x^{2} - 13 x

Solution steps

(3 x^{2} - 7 x) - (4 x^{2} + 6 x)

Apply rule:

(a) = a

(3 x^{2} - 7 x) = 3 x^{2} - 7 x

= 3 x^{2} - 7 x - (4 x^{2} + 6 x)

Apply the distributive law:

- (a + b) = - a - b

- (4 x^{2} + 6 x) = - 4 x^{2} - 6 x

= 3 x^{2} - 7 x - 4 x^{2} - 6 x

Group like terms

= 3 x^{2} - 4 x^{2} - 7 x - 6 x

Add similar elements:

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

= - x^{2} - 7 x - 6 x

Add similar elements:

- 7 x - 6 x = - 13 x

= - x^{2} - 13 x

2 x x

45 \div 5

- 2 x + 11 + 6 x

\frac{14}{20}

- 4 \cdot (- 2)