What is (8x^3-6x^4+3)-(3x^3-3+8x^4) ?

The solution to (8x^3-6x^4+3)-(3x^3-3+8x^4) is -14x^4+5x^3+6

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simplify (8x^3-6x^4+3)-(3x^3-3+8x^4)

simplify

(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})

- 14 x^{4} + 5 x^{3} + 6

Solution steps

(8 x^{3} - 6 x^{4} + 3) - (3 x^{3} - 3 + 8 x^{4})

Apply rule:

(a) = a

(8 x^{3} - 6 x^{4} + 3) = 8 x^{3} - 6 x^{4} + 3

= 8 x^{3} - 6 x^{4} + 3 - (3 x^{3} - 3 + 8 x^{4})

Apply the distributive law:

- (a - b) = - a + b

- (3 x^{3} - 3 + 8 x^{4}) = - 3 x^{3} + 3 - 8 x^{4}

= 8 x^{3} - 6 x^{4} + 3 - 3 x^{3} + 3 - 8 x^{4}

Group like terms

= - 6 x^{4} - 8 x^{4} + 8 x^{3} - 3 x^{3} + 3 + 3

Add similar elements:

- 6 x^{4} - 8 x^{4} = - 14 x^{4}

= - 14 x^{4} + 8 x^{3} - 3 x^{3} + 3 + 3

Add similar elements:

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

= - 14 x^{4} + 5 x^{3} + 3 + 3

Add the numbers:

3 + 3 = 6

= - 14 x^{4} + 5 x^{3} + 6

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What is (8x^3-6x^4+3)-(3x^3-3+8x^4) ?
The solution to (8x^3-6x^4+3)-(3x^3-3+8x^4) is -14x^4+5x^3+6