Respuesta :

The equivalent expression for the given expression is 28p + 14q + 21r.

What is an equivalent expression?

An expression that gives the same value as the original expression when the same value of a variable is substituted is said to be an equivalent expression.

An equivalent expression is simplified to the original expression by using the distributive property.

What is distributive property?

The distributive property is

a(b + c) = ab + ac

Calculation:

The given expression is 7(4p + 2q + 3r)

Applying the distributive property,

7(4p + 2q + 3r) = 7(4p) + 7(2q) + 7(3r)

⇒ 28p + 14q + 21r

Thus, the equivalent expression for the given expression is 28p + 14q + 21r.

Learn more about an equivalent expression here:

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7(4p+2q+3r)=7(4p+2q+3r)

Apply distributive law

  • a(b+c)=ab+ac

So

  • 28p+14q+21r=28p+14q+21r

This is the required expression