What is (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5) ?

The solution to (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5) is 7x^6+7x^5+8x^3-9x^2+11x-5

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simplify (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5)

simplify

(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5)

7 x^{6} + 7 x^{5} + 8 x^{3} - 9 x^{2} + 11 x - 5

Solution steps

(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5)

Simplify

(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5) : 7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x + 5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5

= 7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x + 5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5

Group like terms

= 7 x^{6} + 2 x^{5} + 5 x^{5} + 8 x^{3} - 3 x^{2} - 6 x^{2} + 9 x + 2 x - 5

Add similar elements:

2 x^{5} + 5 x^{5} = 7 x^{5}

= 7 x^{6} + 7 x^{5} + 8 x^{3} - 3 x^{2} - 6 x^{2} + 9 x + 2 x - 5

Add similar elements:

- 3 x^{2} - 6 x^{2} = - 9 x^{2}

= 7 x^{6} + 7 x^{5} + 8 x^{3} - 9 x^{2} + 9 x + 2 x - 5

Add similar elements:

9 x + 2 x = 11 x

= 7 x^{6} + 7 x^{5} + 8 x^{3} - 9 x^{2} + 11 x - 5

10 - 2

5 \times (- 3)

(\frac{12 x ^{3} y ^{2} z}{3 x ^{- 2} y ^{6} z ^{8}})^{- 2}

8 r^{2} (r^{2} - 2)

What is (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5) ?
The solution to (7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5) is 7x^6+7x^5+8x^3-9x^2+11x-5