CPM Homework Help : CCA2 Problem 3-24

Look back at the expressions in problem 3-23 that are not equivalent. For each pair of expressions, are there any values of the variable(s) that would make the two expressions equal? Justify your reasoning.

$\text{a.}\ ( x + 3 ) ^ { 2 } \text { and } x ^ { 2 } + 9$

Hint (a):

Multiply the first expression using a generic rectangle.

More Help (a):

Set the expressions equal to each other and solve for $x$ .

Answer (a):

The equations are equal only if $x=0$ .

$\text{e.}\ ( x ^ { 3 } ) ^ { 4 } \text { and } x ^ { 7 }$

Hint (e):

Set the expressions equal to each other and simplify.

Answer (e):

This is equal only if $x=0$ or $x=1$ .

$\text{f.}\ \ ab^2\text{ and }a^2b^2$

Hint (f):

See part (e).