What is 2r^2-5x^1+6*3x^4-5x^3-6x^2+4x-3 ?

The solution to 2r^2-5x^1+6*3x^4-5x^3-6x^2+4x-3 is 18x^4-5x^3+2r^2-6x^2-x-3

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simplify 2r^2-5x^1+6*3x^4-5x^3-6x^2+4x-3

simplify

2 r^{2} - 5 x^{1} + 6 \cdot 3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3

18 x^{4} - 5 x^{3} + 2 r^{2} - 6 x^{2} - x - 3

Solution steps

2 r^{2} - 5 x^{1} + 6 \cdot 3 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3

5 x^{1} = 5 x

6 \cdot 3 x^{4} = 18 x^{4}

= 2 r^{2} - 5 x + 18 x^{4} - 5 x^{3} - 6 x^{2} + 4 x - 3

Group like terms

= 18 x^{4} - 5 x^{3} + 2 r^{2} - 6 x^{2} - 5 x + 4 x - 3

Add similar elements:

- 5 x + 4 x = - x

= 18 x^{4} - 5 x^{3} + 2 r^{2} - 6 x^{2} - x - 3

(\frac{3 x - 5 - 1}{( 3 x - 5 )})^{5}

\frac{x ^{2}}{2} + \frac{10}{3} x + 2

5 x^{3} y - 45 x y^{3}

x^{3} - 18 x + 28

216 x^{3} - 64 y^{3}

What is 2r^2-5x^1+6*3x^4-5x^3-6x^2+4x-3 ?
The solution to 2r^2-5x^1+6*3x^4-5x^3-6x^2+4x-3 is 18x^4-5x^3+2r^2-6x^2-x-3