### Home > AC > Chapter 13 > Lesson 13.RE3-S > Problem 2-150

Simplify the first expression.

(*ab*)^{2} = (*ab*)(*ab*) = *a* · *a* · *b* · *b* = *a*^{2}*b*^{2}

Substitute some numbers for *a* and *b* to confirm the algebraic manipulations you used are correct.

The first expression is equivalent to the second expression.

See part (b).

Substitute some numbers for *a* and *b* to confirm the algebraic manipulations you used are correct.

The first equation is equivalent to the second equation.

Are these expressions equal for every value *x*?

This is an example of a place to investigate how using 0 gives a different result than other numbers.

The expressions are equivalent except when *x* = 0.

Rewrite the first equation in *y*-form.

Substitute some numbers for *a* and *b* to confirm the algebraic manipulations you used are correct.

The first equation is equivalent to the second expression.

Remember, (*a* + *b*)^{2} means to square the quantity *a* + *b*. You can use a generic rectangle to help you.

Substitute some numbers for *a* and *b* to confirm the algebraic manipulations you used are correct. Remember to be careful about using only 0 and 1. They can work and not work in very specific cases, often worth mentioning.

The first expression is NOT equivalent to the second expression.

Simplify the first equation.