What is (5x^2-2x-1)-(3x^2-5x+7) ?

The solution to (5x^2-2x-1)-(3x^2-5x+7) is 2x^2+3x-8

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simplify (5x^2-2x-1)-(3x^2-5x+7)

simplify

(5 x^{2} - 2 x - 1) - (3 x^{2} - 5 x + 7)

2 x^{2} + 3 x - 8

Solution steps

(5 x^{2} - 2 x - 1) - (3 x^{2} - 5 x + 7)

Apply rule:

(a) = a

(5 x^{2} - 2 x - 1) = 5 x^{2} - 2 x - 1

= 5 x^{2} - 2 x - 1 - (3 x^{2} - 5 x + 7)

Apply the distributive law:

- (a - b) = - a + b

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

= 5 x^{2} - 2 x - 1 - 3 x^{2} + 5 x - 7

Group like terms

= 5 x^{2} - 3 x^{2} - 2 x + 5 x - 1 - 7

Add similar elements:

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

= 2 x^{2} - 2 x + 5 x - 1 - 7

Add similar elements:

- 2 x + 5 x = 3 x

= 2 x^{2} + 3 x - 1 - 7

Subtract the numbers:

- 1 - 7 = - 8

= 2 x^{2} + 3 x - 8

- 2 y + 2 y

\frac{2 x ^{2} - 5 x - 3}{x - 3}

9 (x + 1) - 3 (x + 1)^{2}

\frac{x ^{2} + 8 x + 16}{x ^{2} - 16}

\frac{60}{24}

What is (5x^2-2x-1)-(3x^2-5x+7) ?
The solution to (5x^2-2x-1)-(3x^2-5x+7) is 2x^2+3x-8