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1: Find the product of -3x3 + 2x – 4 and 3x – 2

2: Is the product of -3x3 + 2x – 4 and 3x – 2 equal to the product of -3x3 + 2x – 4 and 2x-3?

User Sergio Lema
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1 Answer

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27 votes

Explanation:

multiplying expressions.

remember every term of one expression has to be multiplied with every term of the other expression, and the results are added up (while considering their individual signs, of course).

1.

(-3×3 + 2x - 4)(3x - 2)

(-9 + 2x - 4)(3x - 2)

(-13 + 2x)(3x - 2) = -13×3x + -13×-2 + 2x×3x + 2x×-2 =

= -39x + 26 + 6x² - 4x = 6x² - 43x + 26

2.

let's do the other multiplication and compare the result with the result of 1 :

(-13 + 2x)(2x - 3) = -13×2x + -13×-3 + 2x×2x + 2x×-3 =

= -26x + 39 + 4x² - 6x = 4x² - 32x + 39

no, this product is not the same as in 1.

User Carleny
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