What is 5(2x^2y+4x)+3x-2x(4xy-5)+12 ?

The solution to 5(2x^2y+4x)+3x-2x(4xy-5)+12 is 2x^2y+33x+12

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simplify 5(2x^2y+4x)+3x-2x(4xy-5)+12

simplify

5 (2 x^{2} y + 4 x) + 3 x - 2 x (4 x y - 5) + 12

2 x^{2} y + 33 x + 12

Solution steps

5 (2 x^{2} y + 4 x) + 3 x - 2 x (4 x y - 5) + 12

Expand

5 (2 x^{2} y + 4 x) : 10 x^{2} y + 20 x

= 10 x^{2} y + 20 x + 3 x - 2 x (4 x y - 5) + 12

Expand

- 2 x (4 x y - 5) : - 8 x^{2} y + 10 x

= 10 x^{2} y + 20 x + 3 x - 8 x^{2} y + 10 x + 12

Group like terms

= 10 x^{2} y - 8 x^{2} y + 20 x + 3 x + 10 x + 12

Add similar elements:

10 x^{2} y - 8 x^{2} y = 2 x^{2} y

= 2 x^{2} y + 20 x + 3 x + 10 x + 12

Add similar elements:

20 x + 3 x + 10 x = 33 x

= 2 x^{2} y + 33 x + 12

\frac{2 x ^{3} - 32 x}{x + 4}

\frac{x ^{2} - 9}{2 x ^{2} + 7 x + 3}

(- x - 4)^{2}

(32 x^{10})^{\frac{3}{5}}

What is 5(2x^2y+4x)+3x-2x(4xy-5)+12 ?
The solution to 5(2x^2y+4x)+3x-2x(4xy-5)+12 is 2x^2y+33x+12