Respuesta :

ninohamada2005
I think it’s D, because you multiply 8 and 5t which is 40t and then you multiply 8 and 7v which is 56v and then the final answer would be 40t+56v

The expression 8(5t+7v) is equivalent to the expression 2(20t+28V) and 40t + 56v option (A) and option (D) is correct.

What is distributive property?

The distributive property is the property that expresses the distributive law of algebraic multiplication. similarly, in polynomial expression we can use the distributive property for example we can write a(c+b) in the form of (ac+bc).

We have an expression:

= 8(5t+7v)

After using the distributive property, we get:

= 8×5t+8×7v

= 40t + 56v

Applying distributive property in the expression 2(20t+28v), we get:

= 2×20t+2×28v

= 40t+56v

The above expression is equivalent to the given expression.

Again applying distributive property in the expression 4(95+11v), we get:

= 4×95+4×11v

= 380+44v

The above expression is not equivalent to the given expression.

The expression 40t+7v is not equivalent to the given expression.

The expression 40t+56v is equivalent to the given expression.

Thus, the expression 8(5t+7v) is equivalent to the expression 2(20t+28V) and 40t + 56v option (A) and option (D) is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

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