How do you simplify $- 7 x (- 4 x + 2) + 6 (x - 7)$ $-7x (-4x+2)+6(x-7)$ ?

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How do you simplify $- 7 x (- 4 x + 2) + 6 (x - 7)$ $-7x (-4x+2)+6(x-7)$ ?

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Answer 1 · 2017-02-19T03:16:29

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the associated term outside the parenthesis. Pay special attention to the sign of each individual term:

$- 7 x (- 4 x + 2) + 6 (x - 7)$ $color(red)(-7x)(-4x + 2) + color(blue)(6)(x - 7)$ becomes:

$(- 7 x \times - 4 x) + (- 7 x \times 2) + (6 \times x) - (6 \times 7) \to$ $(color(red)(-7x) xx -4x) + (color(red)(-7x) xx 2) + (color(blue)(6) xx x) - (color(blue)(6) xx 7) ->$

$28 x^{2} - 14 x + 6 x - 42$ $28x^2 - 14x + 6x - 42$

We can now combine like terms:

$28 x^{2} + (- 14 + 6) x - 42$ $28x^2 + (-14 + 6)x - 42$

$28 x^{2} - 8 x - 42$ $28x^2 -8x - 42$

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How do you simplify $- 7 x (- 4 x + 2) + 6 (x - 7)$ $-7x (-4x+2)+6(x-7)$ ?

1 Answer

Explanation:

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How do you simplify −7x(−4x+2)+6(x−7)-7x (-4x+2)+6(x-7)?

1 Answer

Explanation:

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How do you simplify $- 7 x (- 4 x + 2) + 6 (x - 7)$ $-7x (-4x+2)+6(x-7)$ ?