What is (3k^2-7k)-(5k^2+2k-8) ?

The solution to (3k^2-7k)-(5k^2+2k-8) is -2k^2-9k+8

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simplify (3k^2-7k)-(5k^2+2k-8)

simplify

(3 k^{2} - 7 k) - (5 k^{2} + 2 k - 8)

- 2 k^{2} - 9 k + 8

Solution steps

(3 k^{2} - 7 k) - (5 k^{2} + 2 k - 8)

Apply rule:

(a) = a

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

= 3 k^{2} - 7 k - (5 k^{2} + 2 k - 8)

Apply the distributive law:

- (a + b) = - a - b

- (5 k^{2} + 2 k - 8) = - 5 k^{2} - 2 k + 8

= 3 k^{2} - 7 k - 5 k^{2} - 2 k + 8

Group like terms

= 3 k^{2} - 5 k^{2} - 7 k - 2 k + 8

Add similar elements:

3 k^{2} - 5 k^{2} = - 2 k^{2}

= - 2 k^{2} - 7 k - 2 k + 8

Add similar elements:

- 7 k - 2 k = - 9 k

= - 2 k^{2} - 9 k + 8

\frac{18}{24}

(- 1 + 2 i)^{3}

3 lo g_{2} (8)

- 4 x^{4} + 16 x^{3} - 25 x^{2} + 15 x - 3

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

What is (3k^2-7k)-(5k^2+2k-8) ?
The solution to (3k^2-7k)-(5k^2+2k-8) is -2k^2-9k+8