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PLEASEE HELP ANYONE
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x^2 + x – 2) and got the expression below.
(2x)(x^2) + (2x)(x) + (2x)(–2) + (3)(x^2) + (3)(x) + (3)(–2)
Which is the simplified product?
A 2x^3+ 6x^2 – x – 6
B 2x^3 + x^2 – x – 6
C 2x^3 + 5x^2 – x – 6
D2x^3 – x^2 – 7x – 6

Respuesta :

Banabanana
(2x)(x²) + (2x)(x) + (2x)(–2) + (3)(x²) + (3)(x) + (3)(–2) =
=2x³ + 2x² - 4x + 3x² + 3x - 6 = 2x³ + 5x² - x - 6
JonHenderson55
Yes; the correct answer is:  [C]:  "  2x³ + 5x² + x – 6 " .
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Explanation:
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(2x + 3)(x² + x – 2) =

      (2x)(x²) + (2x)(x) + (2x)(–2) + (3)(x²) + (3)(x) + (3)(–2) =

2x³ + 2x² – 4x + 3x² + 3x – 6 = ?

Combine the "like terms" "

+2x² + 3x² = + 5x² ;

– 4x + 3x =  + x
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and we have:
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 " 2x³ + 5x² + x – 6 " ;  which is:  Answer choice:  [C] .
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