What is (4q^4+3q^2+8q)+(5q^3-2q^2-q) ?

The solution to (4q^4+3q^2+8q)+(5q^3-2q^2-q) is 4q^4+5q^3+q^2+7q

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simplify (4q^4+3q^2+8q)+(5q^3-2q^2-q)

simplify

(4 q^{4} + 3 q^{2} + 8 q) + (5 q^{3} - 2 q^{2} - q)

4 q^{4} + 5 q^{3} + q^{2} + 7 q

Solution steps

(4 q^{4} + 3 q^{2} + 8 q) + (5 q^{3} - 2 q^{2} - q)

Simplify

(4 q^{4} + 3 q^{2} + 8 q) + (5 q^{3} - 2 q^{2} - q) : 4 q^{4} + 3 q^{2} + 8 q + 5 q^{3} - 2 q^{2} - q

= 4 q^{4} + 3 q^{2} + 8 q + 5 q^{3} - 2 q^{2} - q

Group like terms

= 4 q^{4} + 5 q^{3} + 3 q^{2} - 2 q^{2} + 8 q - q

Add similar elements:

3 q^{2} - 2 q^{2} = q^{2}

= 4 q^{4} + 5 q^{3} + q^{2} + 8 q - q

Add similar elements:

8 q - q = 7 q

= 4 q^{4} + 5 q^{3} + q^{2} + 7 q

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