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

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

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

simplify

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

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

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

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

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

Add the numbers:

2 + 4 = 6

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

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

\frac{7 - 3 i}{7 - 2 i}

\frac{0.1 + 4 - 2}{0.1}

\frac{3}{4} \cdot \frac{12}{27}

\frac{3 a}{a - 1} + \frac{2}{3 a + 4}

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