What is (x^2+5x-6)-(x^2-4) ?

The solution to (x^2+5x-6)-(x^2-4) is 5x-2

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simplify (x^2+5x-6)-(x^2-4)

simplify

(x^{2} + 5 x - 6) - (x^{2} - 4)

5 x - 2

Solution steps

(x^{2} + 5 x - 6) - (x^{2} - 4)

Apply rule:

(a) = a

(x^{2} + 5 x - 6) = x^{2} + 5 x - 6

= x^{2} + 5 x - 6 - (x^{2} - 4)

Apply the distributive law:

- (a - b) = - a + b

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

= x^{2} + 5 x - 6 - x^{2} + 4

Group like terms

= x^{2} - x^{2} + 5 x - 6 + 4

Add similar elements:

x^{2} - x^{2} = 0

= 5 x - 6 + 4

Add the numbers:

- 6 + 4 = - 2

= 5 x - 2

(- 5)^{\frac{1}{2}}

\frac{x ^{12}}{x ^{5}}

\frac{3 ( x + 2 ) ( x - 1 )}{6 ( x - 1 )}

2 x - 4 x^{3}

7 \div \frac{3}{5}