What is (4x^2-5x+3)-(-5x^2-9x-5) ?

The solution to (4x^2-5x+3)-(-5x^2-9x-5) is 9x^2+4x+8

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simplify (4x^2-5x+3)-(-5x^2-9x-5)

simplify

(4 x^{2} - 5 x + 3) - (- 5 x^{2} - 9 x - 5)

9 x^{2} + 4 x + 8

Solution steps

(4 x^{2} - 5 x + 3) - (- 5 x^{2} - 9 x - 5)

Apply rule:

(a) = a

(4 x^{2} - 5 x + 3) = 4 x^{2} - 5 x + 3

= 4 x^{2} - 5 x + 3 - (- 5 x^{2} - 9 x - 5)

Apply the distributive law:

- (- a - b) = a + b

- (- 5 x^{2} - 9 x - 5) = 5 x^{2} + 9 x + 5

= 4 x^{2} - 5 x + 3 + 5 x^{2} + 9 x + 5

Group like terms

= 4 x^{2} + 5 x^{2} - 5 x + 9 x + 3 + 5

Add similar elements:

4 x^{2} + 5 x^{2} = 9 x^{2}

= 9 x^{2} - 5 x + 9 x + 3 + 5

Add similar elements:

- 5 x + 9 x = 4 x

= 9 x^{2} + 4 x + 3 + 5

Add the numbers:

3 + 5 = 8

= 9 x^{2} + 4 x + 8

- 220

\frac{3}{28} \cdot 8

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

4 m - 12

- 28 \div 4

What is (4x^2-5x+3)-(-5x^2-9x-5) ?
The solution to (4x^2-5x+3)-(-5x^2-9x-5) is 9x^2+4x+8