What is (x^3-3x^2+8x+7)+(-5x^3-12x+3) ?

The solution to (x^3-3x^2+8x+7)+(-5x^3-12x+3) is -4x^3-3x^2-4x+10

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simplify (x^3-3x^2+8x+7)+(-5x^3-12x+3)

simplify

(x^{3} - 3 x^{2} + 8 x + 7) + (- 5 x^{3} - 12 x + 3)

- 4 x^{3} - 3 x^{2} - 4 x + 10

Solution steps

(x^{3} - 3 x^{2} + 8 x + 7) + (- 5 x^{3} - 12 x + 3)

Simplify

(x^{3} - 3 x^{2} + 8 x + 7) + (- 5 x^{3} - 12 x + 3) : x^{3} - 3 x^{2} + 8 x + 7 - 5 x^{3} - 12 x + 3

= x^{3} - 3 x^{2} + 8 x + 7 - 5 x^{3} - 12 x + 3

Group like terms

= x^{3} - 5 x^{3} - 3 x^{2} + 8 x - 12 x + 7 + 3

Add similar elements:

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

= - 4 x^{3} - 3 x^{2} + 8 x - 12 x + 7 + 3

Add similar elements:

8 x - 12 x = - 4 x

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

Add the numbers:

7 + 3 = 10

= - 4 x^{3} - 3 x^{2} - 4 x + 10

(y - 2 x)^{2}

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

(x + 1) (x - 10)

(10 x)^{- 1}

What is (x^3-3x^2+8x+7)+(-5x^3-12x+3) ?
The solution to (x^3-3x^2+8x+7)+(-5x^3-12x+3) is -4x^3-3x^2-4x+10