What is (2x^3+7x^2+x)+(2x^2-4x-12) ?

The solution to (2x^3+7x^2+x)+(2x^2-4x-12) is 2x^3+9x^2-3x-12

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simplify (2x^3+7x^2+x)+(2x^2-4x-12)

simplify

(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)

2 x^{3} + 9 x^{2} - 3 x - 12

Solution steps

(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)

Simplify

(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12) : 2 x^{3} + 7 x^{2} + x + 2 x^{2} - 4 x - 12

= 2 x^{3} + 7 x^{2} + x + 2 x^{2} - 4 x - 12

Group like terms

= 2 x^{3} + 7 x^{2} + 2 x^{2} + x - 4 x - 12

Add similar elements:

7 x^{2} + 2 x^{2} = 9 x^{2}

= 2 x^{3} + 9 x^{2} + x - 4 x - 12

Add similar elements:

x - 4 x = - 3 x

= 2 x^{3} + 9 x^{2} - 3 x - 12

\frac{26}{30}

\frac{26}{15}

- \frac{1}{2} x^{2}

2 (6 x + 3)

X^{2} - 4

What is (2x^3+7x^2+x)+(2x^2-4x-12) ?
The solution to (2x^3+7x^2+x)+(2x^2-4x-12) is 2x^3+9x^2-3x-12