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

The solution to (2x-3x+6x^2+x)-(x^5-4x^2-x^2+4x) is -x^5+11x^2-4x

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

simplify

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

- x^{5} + 11 x^{2} - 4 x

Solution steps

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

Apply rule:

(a) = a

(2 x - 3 x + 6 x^{2} + x) = 2 x - 3 x + 6 x^{2} + x

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

Group like terms

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

Add similar elements:

2 x - 3 x + x = 0

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

Simplify

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

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

Group like terms

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

Add similar elements:

5 x^{2} + 6 x^{2} = 11 x^{2}

= - x^{5} + 11 x^{2} - 4 x

\frac{( x + y )}{( x ^{2} - y )} + \frac{( x - 2 y )}{( 3 x ^{2} - 3 y )}

(- 5 a^{3})^{5}

(1 + w^{2})^{4}

\frac{- 3.2 x + 31.68 + 4 y + 5 x}{4}

x^{4} - 14 x^{2} y^{2} - 51 y^{4}

What is (2x-3x+6x^2+x)-(x^5-4x^2-x^2+4x) ?
The solution to (2x-3x+6x^2+x)-(x^5-4x^2-x^2+4x) is -x^5+11x^2-4x