Question

Which algebraic expression is equivalent to the expression below? 5(4x + 2) A. 20x + 10 B. 5x + 6 C. 4x + 10 D. 20x + 2

Answer 1

A. Distribute the 5 to the 4x and 2

Answer 2

We shall have to use distribution here.

The number outside the parenthesis gets distribute with the numbers inside.

This is called distributive property.

We know the distributive property is

a(b+c) = a × b + a ×c

Using this property for

5(4 x+2)

= 5× 4x + 5 × 2

Now 5 times 4x = 20x

5 times 2 = 10

So we get

5(4 x+2)  = 20 x + 10

Option A) is the right answer.