Question

How does the value of an expression change when it is expanded

Answer 1

Answer:

The value remains the same.

Step-by-step explanation:

using the expression: $(x + 1)^{2}$,

where x = 2

substitute for x in the expression;

$(2 + 1)^{2}$

= $(3)^{2}$

=9          

The value of the expression before expansion = 9

Lets expand the expression:  $(x + 1)^{2}$

= (x + 1) (x + 1)

= $x^{2}$ + 2x + 1

substitute for x in the expression

= $2^{2}$ + 2(2) + 1

= 4 + 4 + 1              = 9

The value of the expansion after expansion = 9

The value remains the same before and after expansion.