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

The solution to (x^3+3x^2-4x+9)+(4x^3-2x^2-3x+4) is 5x^3+x^2-7x+13

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

simplify

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

5 x^{3} + x^{2} - 7 x + 13

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

x^{3} + 4 x^{3} = 5 x^{3}

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

Add similar elements:

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

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

Add similar elements:

- 4 x - 3 x = - 7 x

= 5 x^{3} + x^{2} - 7 x + 9 + 4

Add the numbers:

9 + 4 = 13

= 5 x^{3} + x^{2} - 7 x + 13

\frac{110}{3}

\frac{1}{2} \times 7

\frac{7}{11}

- \frac{2}{- 6}

\frac{a - b}{a ^{2} - b ^{2}}

What is (x^3+3x^2-4x+9)+(4x^3-2x^2-3x+4) ?
The solution to (x^3+3x^2-4x+9)+(4x^3-2x^2-3x+4) is 5x^3+x^2-7x+13