Question

ich expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. Equivalent Not equivalent 3(a+b) and 3a+b 4(x+2y) and 8y+4x

Answer 1

3(a + b) and 3a + b - NOT EQUIVALENT because

3(a + b) = 3a + 3b

used distributive property a(b + c) = ab + ac

4(x + 2y) and 8y + 4x - EQUIVALENT because

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

used distributive property a(b + c) = ab + ac

and commutative property a + b = b + a

Answer 2

3(a+b) is not equal to 3a+b

4(x+2y) is equal to 4x+8y

Explanation:

3(a+b)

Distribute

3a+3b

This is not equal to 3a +b

4(x+2y)

Distribute

4x+8y

This is equal to 4x+8y