Question #59355

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Answer 1 · 2017-11-20T17:38:53

You can't simplify more than just opening the brakcets
$6 x^{2} - 8 x y$ $6x^2-8xy$
You can't simplify more

Answer 2 · 2017-11-20T17:40:47

$2 x (3 x - 4 y) = 6 x^{2} - 8 x y$ $2x(3x-4y)= 6x^2 - 8xy$

$6 x^{2} - 8 x y$ $6x^2 - 8xy$

You have to distribute $2 x$ $2x$ through each of the terms. Multiply $3 x$ $3x$ by $2 x$ $2x$ and then multiply $- 4 x$ $-4x$ by $2 y$ $2y$ .

Answer 3 · 2017-11-20T19:29:13

$6 x^{2} - 8 x y$ $6x^2-8xy$

$2 x (3 x - 4 y)$ $color(blue)(2x) color(green)((3x-4y))$

Multiply everything inside the bracket by $2 x$ $color(blue)(2x)$

so first we have $2 x \times (+ 3 x) \to 6 x^{2}$ $color(blue)(2x) xx color(green)((+3x)) ->color(red)( 6x^2)$

so second we have $2 x \times (- 4 y) \to - 8 x y$ $color(blue)(2x) xx color(green)((-4y)) ->color(red)( -8xy)$

Putting this all together

$6 x^{2} - 8 x y$ $color(red)( 6x^2-8xy )$