Question #dc5d6

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Question #dc5d6

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Answer 1 · 2017-09-18T11:44:52

$- 12 x - 2 y + 3$ $-12x-2y+3$

Explanation:

$x - 3 (x - y) - 4 - 5 (y + 2 x) + 7$ $x-3(x-y)-4-5(y+2x)+7$
For simplifying the given term,we need to solve the brackets.
The first bracket can be solved by multiplying $- 3$ $-3$ with $(x - y)$ $(x-y)$ and the second bracket can be solved by multiplying $- 5$ $-5$ with $(y + 2 x)$ $(y+2x)$

Now, $- 3 (x - y) = (- 3) x - (- 3) y$ $-3(x-y)=(-3)x-(-3)y$
Thus, $- 3 (x - y) = - 3 x + 3 y$ $-3(x-y)=-3x+3y$
Similarly, $- 5 (y + 2 x) = (- 5) y + (- 5) 2 x$ $-5(y+2x)=(-5)y+(-5)2x$
Therefore, $- 5 (y + 2 x) = - 5 y - 10 x$ $-5(y+2x)=-5y-10x$

Placing these values in the term,we have
$x - 3 x + 3 y - 4 - 5 y - 10 x + 7$ $x-3x+3y-4-5y-10x+7$ , which is
$x - 3 x - 10 x + 3 y - 5 y - 4 + 7$ $x-3x-10x+3y-5y-4+7$ , which is
$- 12 x - 2 y + 3$ $-12x-2y+3$

Therefore, $x - 3 (x - y) - 4 - 5 (y + 2 x) + 7 = - 12 x - 2 y + 3$ $x-3(x-y)-4-5(y+2x)+7=-12x-2y+3$

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Question #dc5d6

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