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

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

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

simplify

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

- 9 x^{2} - 4 x - 8

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 9 x + 5 x = - 4 x

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

Subtract the numbers:

- 5 - 3 = - 8

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

\frac{1}{1 + 2 i} + \frac{1}{1 + 6 i}

\frac{360}{361}

1 \frac{2}{5} + \frac{4}{5}

2 (p + q) + q

627 - 512

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