What is 2x(2-4x+3)+3(x+4y)-8x ?

The solution to 2x(2-4x+3)+3(x+4y)-8x is -8x^2+5x+12y

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simplify 2x(2-4x+3)+3(x+4y)-8x

simplify

2 x (2 - 4 x + 3) + 3 (x + 4 y) - 8 x

- 8 x^{2} + 5 x + 12 y

Solution steps

2 x (2 - 4 x + 3) + 3 (x + 4 y) - 8 x

Simplify

2 - 4 x + 3 : - 4 x + 5

= 2 x (- 4 x + 5) + 3 (x + 4 y) - 8 x

Expand

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

= - 8 x^{2} + 10 x + 3 (x + 4 y) - 8 x

Expand

3 (x + 4 y) : 3 x + 12 y

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

Group like terms

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

Add similar elements:

10 x + 3 x - 8 x = 5 x

= - 8 x^{2} + 5 x + 12 y

\frac{5 12}{8}

4 x (3 x - 5)

\frac{y ^{3} y ^{4}}{y y ^{2}}

3 (- x)^{2}

3 x (2 x - 5 y + 4)

What is 2x(2-4x+3)+3(x+4y)-8x ?
The solution to 2x(2-4x+3)+3(x+4y)-8x is -8x^2+5x+12y