What is (3x^2+5x+4)-(-1+x^2) ?

The solution to (3x^2+5x+4)-(-1+x^2) is 2x^2+5x+5

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simplify (3x^2+5x+4)-(-1+x^2)

simplify

(3 x^{2} + 5 x + 4) - (- 1 + x^{2})

2 x^{2} + 5 x + 5

Solution steps

(3 x^{2} + 5 x + 4) - (- 1 + x^{2})

Apply rule:

(a) = a

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

= 3 x^{2} + 5 x + 4 - (- 1 + x^{2})

Apply the distributive law:

- (- a + b) = a - b

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

= 3 x^{2} + 5 x + 4 + 1 - x^{2}

Group like terms

= 3 x^{2} - x^{2} + 5 x + 4 + 1

Add similar elements:

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

= 2 x^{2} + 5 x + 4 + 1

Add the numbers:

4 + 1 = 5

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

\frac{1}{2} a + \frac{1}{2} a

\frac{5 x ^{6} y ^{6}}{125 x ^{5} y ^{3}}

\frac{( x ^{5} + 32 )}{( x + 2 )}

(m^{4} + m^{2} n^{2} + n^{4}) (m^{2} - n^{2})

5 x^{2} - x^{2}

What is (3x^2+5x+4)-(-1+x^2) ?
The solution to (3x^2+5x+4)-(-1+x^2) is 2x^2+5x+5