pandalover1703 pandalover1703
  • 25-03-2020
  • Mathematics
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Find the area of the rectangle as a single expression.
A) 15x2 − 6x + 48
B) 15x2 + 6x + 48
C) 15x2 − 6x − 48
D) 15x2 + 6x − 48

Find the area of the rectangle as a single expression A 15x2 6x 48 B 15x2 6x 48 C 15x2 6x 48 D 15x2 6x 48 class=

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Hrishii
Hrishii Hrishii
  • 25-03-2020

Answer:

D) [tex]15x^2 +6x-48[/tex]

Step-by-step explanation:

[tex]Area \: of \: rectangle \\ = length \times width \\ = 3(x + 2) \times (5x - 8) \\ = (3x + 6) \times (5x - 8) \\ = 3x(5x - 8) + 6(5x - 8) \\ = 15 {x}^{2} - 24x + 30x - 48 \\ = 15 {x}^{2} + 6x - 48[/tex]

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