Use the distributive property to write an equivalent expression.

Question

A. 5(3x + 5y + 2z)

B.)  8(2w + 4x + 3y)

Answer 1

A) The expression is 5(3x + 5y + 2z)

Using distributive property: a(b + c) = ab + bc, we get,

= 5(3x) + 5(5y) + 5(2z)

= 15x + 25y + 10z

The equivalent expression is 15x + 25y + 10z.

 

B) The expression is 8(2w + 4x + 3y)

Using distributive property: a(b + c) = ab + bc, we get,

= 8(2w) + 8(4x) + 8(3y)

= 16w + 32x + 24y

The equivalent expression is 16w + 32x + 24y.