What is (5x^4-3x^2+6x-3)+(-3x^4+x^3+5x^2-7x+3) ?

The solution to (5x^4-3x^2+6x-3)+(-3x^4+x^3+5x^2-7x+3) is 2x^4+x^3+2x^2-x

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simplify (5x^4-3x^2+6x-3)+(-3x^4+x^3+5x^2-7x+3)

simplify

(5 x^{4} - 3 x^{2} + 6 x - 3) + (- 3 x^{4} + x^{3} + 5 x^{2} - 7 x + 3)

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

Solution steps

(5 x^{4} - 3 x^{2} + 6 x - 3) + (- 3 x^{4} + x^{3} + 5 x^{2} - 7 x + 3)

Simplify

(5 x^{4} - 3 x^{2} + 6 x - 3) + (- 3 x^{4} + x^{3} + 5 x^{2} - 7 x + 3) : 5 x^{4} - 3 x^{2} + 6 x - 3 - 3 x^{4} + x^{3} + 5 x^{2} - 7 x + 3

= 5 x^{4} - 3 x^{2} + 6 x - 3 - 3 x^{4} + x^{3} + 5 x^{2} - 7 x + 3

Group like terms

= 5 x^{4} - 3 x^{4} + x^{3} - 3 x^{2} + 5 x^{2} + 6 x - 7 x - 3 + 3

Add similar elements:

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

= 2 x^{4} + x^{3} - 3 x^{2} + 5 x^{2} + 6 x - 7 x - 3 + 3

Add similar elements:

- 3 x^{2} + 5 x^{2} = 2 x^{2}

= 2 x^{4} + x^{3} + 2 x^{2} + 6 x - 7 x - 3 + 3

Add similar elements:

6 x - 7 x = - x

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

Add the numbers:

- 3 + 3 = 0

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

30 \cdot 7

(8 n + 1) (6 n - 3)

(3 x + y)^{3}

2 x \cdot x

(- 8 i)^{2}

What is (5x^4-3x^2+6x-3)+(-3x^4+x^3+5x^2-7x+3) ?
The solution to (5x^4-3x^2+6x-3)+(-3x^4+x^3+5x^2-7x+3) is 2x^4+x^3+2x^2-x