What is the standard form of $y = (2 x - 3) (x + 7) (- 3 x - 2)$ $y= (2x-3)(x+7)(-3x-2)$ ?

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What is the standard form of $y = (2 x - 3) (x + 7) (- 3 x - 2)$ $y= (2x-3)(x+7)(-3x-2)$ ?

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Answer 1 · 2017-07-08T17:52:08

$y = - 6 x^{3} - 37 x^{2} + 41 x + 42$ $y=-6x^3-37x^2+41x+42$

Explanation:

Multiply the first two expressions using the FOIL method.
$(2 x - 3) (x + 7)$ $(2x-3)(x+7)$
$2 x^{2} + 14 x - 3 x - 21$ $2x^2+14x-3x-21$ ---> combine like terms
$2 x^{2} + 11 x - 21$ $2x^2+11x-21$

Here is what you have now: $y = (2 x^{2} + 11 x - 21) (- 3 x - 2)$ $y=(2x^2+11x-21)(-3x-2)$

Using the same method as before, multiply the expressions together.
$(2 x^{2} + 11 x - 21) (- 3 x - 2)$ $(2x^2+11x-21)(-3x-2)$
$- 6 x^{3} - 33 x^{2} + 63 x - 4 x^{2} - 22 x + 42$ $-6x^3-33x^2+63x-4x^2-22x+42$ ---> combine like terms
$- 6 x^{3} - 37 x^{2} + 41 x + 42$ $-6x^3-37x^2+41x+42$

Your final answer is $y = - 6 x^{3} - 37 x^{2} + 41 x + 42$ $y=-6x^3-37x^2+41x+42$ .

I hope this helps a lot! :)

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What is the standard form of $y = (2 x - 3) (x + 7) (- 3 x - 2)$ $y= (2x-3)(x+7)(-3x-2)$ ?

1 Answer

Explanation:

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Science

Math

Humanities

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What is the standard form of y=(2x−3)(x+7)(−3x−2) y= (2x-3)(x+7)(-3x-2)?

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Explanation:

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What is the standard form of $y = (2 x - 3) (x + 7) (- 3 x - 2)$ $y= (2x-3)(x+7)(-3x-2)$ ?