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2-150.

Simplify the first expression.

(ab)2 = (ab)(ab) = a · a · b · b = a2b2

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.