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

The solution to (3+3x^2-5x)-(5x^2+1+7x) is -2x^2-12x+2

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

simplify

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

- 2 x^{2} - 12 x + 2

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 5 x - 7 x = - 12 x

= - 2 x^{2} - 12 x + 3 - 1

Subtract the numbers:

3 - 1 = 2

= - 2 x^{2} - 12 x + 2

2 + \frac{1}{x - 2}

(- 7 - i) - (- 9 + 5 i)

(3 + 7)^{2}

i^{148}

- (2 x - 1)

What is (3+3x^2-5x)-(5x^2+1+7x) ?
The solution to (3+3x^2-5x)-(5x^2+1+7x) is -2x^2-12x+2