What is (k^2+2k-13)-(-3k^2+9k+1) ?

The solution to (k^2+2k-13)-(-3k^2+9k+1) is 4k^2-7k-14

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simplify (k^2+2k-13)-(-3k^2+9k+1)

simplify

(k^{2} + 2 k - 13) - (- 3 k^{2} + 9 k + 1)

4 k^{2} - 7 k - 14

Solution steps

(k^{2} + 2 k - 13) - (- 3 k^{2} + 9 k + 1)

Apply rule:

(a) = a

(k^{2} + 2 k - 13) = k^{2} + 2 k - 13

= k^{2} + 2 k - 13 - (- 3 k^{2} + 9 k + 1)

Apply the distributive law:

- (- a + b) = a - b

- (- 3 k^{2} + 9 k + 1) = 3 k^{2} - 9 k - 1

= k^{2} + 2 k - 13 + 3 k^{2} - 9 k - 1

Group like terms

= k^{2} + 3 k^{2} + 2 k - 9 k - 13 - 1

Add similar elements:

k^{2} + 3 k^{2} = 4 k^{2}

= 4 k^{2} + 2 k - 9 k - 13 - 1

Add similar elements:

2 k - 9 k = - 7 k

= 4 k^{2} - 7 k - 13 - 1

Subtract the numbers:

- 13 - 1 = - 14

= 4 k^{2} - 7 k - 14

∣ x - 1 ∣ < - 5

5 x - 83 \geq - 73

182 - 18

x + 14 > 70

What is (k^2+2k-13)-(-3k^2+9k+1) ?
The solution to (k^2+2k-13)-(-3k^2+9k+1) is 4k^2-7k-14