Which pair shows equivalent expressions?A.2(2/5x + 2)=2 2/5x + 1B.2(2/5x + 2)=4/5x + 4C.2(2/5x + 4)=4/5x + 2D.2(2/5x + 4)=2 2/5x + 8

Which pair shows equivalent expressions? A.2(2/5x + 2)=2 2/5x + 1 B.2(2/5x + 2)=4/5x + 4 C.2(2/5x + 4)=4/5x + 2 D.2(2/5x + 4)=2 2/5x + 8Solution:[tex] 2(\frac{2}{5}x + 2) [/tex]Let us distribute 2 inside the parenthesis. That is, we use distributive property:a(b+c)=ab+ac[tex] 2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2 [/tex]So, [tex] 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4 [/tex]Answer:Option (b)[tex] 2(\frac{2}{5}x+4) [/tex]Applying distributive property, a(b+c)=ab+ac[tex] 2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4 [/tex][tex] 2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4 [/tex][tex] 2(\frac{2}{5}x+4) =\frac{4}{5} x+8 [/tex]So, Option (B) is correct.