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

The solution to (x^2+3x+3)-(7x^2-x-1) is -6x^2+4x+4

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

simplify

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

- 6 x^{2} + 4 x + 4

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

x^{2} - 7 x^{2} = - 6 x^{2}

= - 6 x^{2} + 3 x + x + 3 + 1

Add similar elements:

3 x + x = 4 x

= - 6 x^{2} + 4 x + 3 + 1

Add the numbers:

3 + 1 = 4

= - 6 x^{2} + 4 x + 4

- 3 x + 9 x

(8 h^{2} - 7)^{2}

2 (b) + 2 (3 c)

\frac{121}{16}

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

What is (x^2+3x+3)-(7x^2-x-1) ?
The solution to (x^2+3x+3)-(7x^2-x-1) is -6x^2+4x+4