What is (4r^2-3r+2)-(-r^2-3r) ?

The solution to (4r^2-3r+2)-(-r^2-3r) is 5r^2+2

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simplify (4r^2-3r+2)-(-r^2-3r)

simplify

(4 r^{2} - 3 r + 2) - (- r^{2} - 3 r)

5 r^{2} + 2

Solution steps

(4 r^{2} - 3 r + 2) - (- r^{2} - 3 r)

Apply rule:

(a) = a

(4 r^{2} - 3 r + 2) = 4 r^{2} - 3 r + 2

= 4 r^{2} - 3 r + 2 - (- r^{2} - 3 r)

Apply the distributive law:

- (- a - b) = a + b

- (- r^{2} - 3 r) = r^{2} + 3 r

= 4 r^{2} - 3 r + 2 + r^{2} + 3 r

Group like terms

= 4 r^{2} + r^{2} - 3 r + 3 r + 2

Add similar elements:

4 r^{2} + r^{2} = 5 r^{2}

= 5 r^{2} - 3 r + 3 r + 2

Add similar elements:

- 3 r + 3 r = 0

= 5 r^{2} + 2

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