Instruction
Active
Determining Ordered Pairs
Piano lessons cost $30 per lesson. Find ordered pairs that represent the total cost for x number of lessons.
Check all that apply.
(-1.-30)
(0.30)
(1,30)
(1.5.50
(3.90)

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To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.

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Expression 1:

The expression is:

First, we find the gcf of the numbers 2, 4 and 8, which is 2.

Of the exponents, the gcf between 3, 2 and 1 is 1, so:

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Expression 2:

The expression is:

The gcf of 6 and 294 is 6.

The gcf of the exponents 2 and 4 is 4.

Thus:

Then, applying the difference of squares:

Thus, the factored expression is:

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Expression 3:

The expression is:

The gcf of the coefficients, 5, 50 and 125 is 5, so:

Applying the perfect square, we get that:

Tus, the factored expression is:

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