Which shows two expressions that are equivalent?F 9(6 + x)9.6+9.xG x + (89)(x+8).9H 8.6 + x8. x = 6J6.x+36. (x+3)

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MeiX287244 MeiX287244 · Answer 1 · 2022-10-28T03:17:50+02:00

We have to find which pair of expressions is equivalent.

F) EQUIVALENT. If we apply the distributive property to one expression, we get the other expression.

[tex]9(6+x)=9\cdot6+9x[/tex]

G) NOT EQUIVALENT. The associative property can not be applied when we have addition and multiplication mixed.

[tex]x+(8\cdot9)\ne(x+8)\cdot9[/tex]

H) NOT EQUIVALENT. The associative property can not be applied when we have addition and multiplication mixed.

[tex]8\cdot6+x\ne8\cdot x+6[/tex]

J) NOT EQUIVALENT. The factoring is not done correctly.

[tex]6\cdot x+3\ne6(x+3)[/tex]

Answer: the only pair of expressions that is equivalent is the one from point F.