Question

Which expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. Equivalent Not equivalent 8x(4+z) and 32x+8z 9(g+h) and 9g+9h

Answer 1

8x(4+z) and 32x+8z, = Not equivalent
9(g+h) and 9g+9h = Equivalent

Answer 2

8x(4+z) and 32x+8z are not equivalent expressions.

9(g+h) and 9g+9h are equivalent expressions.

Explanation:

8x(4+z) and 32x+8z

8x(4+z) , distribute 8x inside the parenthesis

8x times 4= 32x

8x times z= 8xz

8x(4+z) = 32x+8xz

8x(4+z) and 32x+8z are not equivalent expressions.

9(g+h) and 9g+9h

9(g+h), distribute 9 inside the parenthesis

9 times g is 9g and 9 times h is 9h

So 9(g+h)= 9g+ 9h

9(g+h) and 9g+9h are equivalent expressions.