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  • 12-06-2019
  • Mathematics
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What is the product of (5r+2)(3r-4)

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gmany
gmany gmany
  • 15-06-2019

Answer:

[tex]\large\boxed{(5r+2)(3r-4)=15r^2-14r-8}[/tex]

Step-by-step explanation:

[tex](5r+2)(3r-4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5r)(3r)+(5r)(-4)+(2)(3r)+(2)(-4)\\\\=15r^2-20r+6r-8\qquad\text{combine like terms}\\\\=15r^2+(-20r+6r)-8\\\\=15r^2-14r-8[/tex]

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