Factor 64g^3 8 In 5 Easy Steps

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Factoring expressions can be a challenging task, but breaking it down into simple steps can make it more manageable. In this article, we will learn how to factor 64g^3 8 in 5 easy steps.

Step 1: Identify the Greatest Common Factor (GCF)

The first step in factoring any expression is to identify the greatest common factor (GCF) of the terms. In this case, we have 64g^3 8. The GCF of 64 and 8 is 8. So, we can factor out 8 from both terms.

64g^3 8 = 8(8g^3 1)

Breaking Down the GCF

The GCF of 8g^3 and 1 is 1. However, we can further simplify 8g^3 by factoring out a perfect cube from 8 and a perfect power from g^3.

Step 2: Factor Out a Perfect Cube

We can factor out a perfect cube from 8 and rewrite it as 2^3.

8g^3 1 = 8(g^3 1) = 2^3(g^3 1)

Now We Have

8(2^3(g^3 1))

Step 3: Factor Out a Perfect Power

We can factor out a perfect power from g^3 and rewrite it as g^1.

8(2^3(g^3 1)) = 8(2^3(g^1)^3 1)

Now We Have

8(2^3(g^1)^3 1)

Step 4: Write the Final Factored Form

Now that we have factored out the perfect cube and perfect power, we can write the final factored form.

64g^3 8 = 8(2^3(g^1)^3 1) = 8(2g)^3 1

And Finally

We can simplify the expression by removing the 1 from the second term.

64g^3 8 = 8(2g)^3

Step 5: Verify the Factored Form

We can verify the factored form by multiplying the terms together.

8(2g)^3 = 8(8g^3) = 64g^3 8

As we can see, the factored form is indeed correct.

Conclusion - Mastering Factoring in 5 Easy Steps

In this article, we have learned how to factor 64g^3 8 in 5 easy steps. By identifying the greatest common factor, factoring out a perfect cube, factoring out a perfect power, writing the final factored form, and verifying the factored form, we can easily factor expressions and simplify them.

Feel free to comment below if you have any questions or need further clarification. Share this article with your friends and family to help them master factoring in 5 easy steps!