What is 11x^3+2x^2-(-3x^3-4x^2) ?

The solution to 11x^3+2x^2-(-3x^3-4x^2) is 14x^3+6x^2

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simplify 11x^3+2x^2-(-3x^3-4x^2)

simplify

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

14 x^{3} + 6 x^{2}

Solution steps

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

Apply the distributive law:

- (- a - b) = a + b

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

= 11 x^{3} + 2 x^{2} + 3 x^{3} + 4 x^{2}

Group like terms

= 11 x^{3} + 3 x^{3} + 2 x^{2} + 4 x^{2}

Add similar elements:

11 x^{3} + 3 x^{3} = 14 x^{3}

= 14 x^{3} + 2 x^{2} + 4 x^{2}

Add similar elements:

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

= 14 x^{3} + 6 x^{2}

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

2 (\frac{x + 7}{2}) + 7

\frac{8 - i}{5 + i}

(\frac{x}{2})^{2}

What is 11x^3+2x^2-(-3x^3-4x^2) ?
The solution to 11x^3+2x^2-(-3x^3-4x^2) is 14x^3+6x^2