Answer:
[tex]32x^2[/tex]
Step-by-step explanation:
We have to find the GCF of the expressions [tex]96x^5\text{ and }64x^2[/tex]
We can write the terms in factored form as shown below
96 = 32 × 3
64= 32 × 2
x^5 = x^2× x^3
On replacing terms with these values, we get
[tex]32\times3\times x^2\times x^3\text{ and }32\times2\times x^2[/tex]
Now, we see the common term in these two expression. That would be the GCF.
The common term is [tex]32x^2[/tex]
Hence, GCF is [tex]32x^2[/tex]
The greatest common factor (GCF) between 96x⁵ and 64x² obtained is given as 32x²
To solve this question, we'll begin by obtaining the factors of 96x⁵ and 64x². This can be obtained as follow:
Factors of 96x⁵ = 2 × 2 × 2 × 2 × 2 × 3 × x × x × x × x × x
Factors of 64x² = 2 × 2 × 2 × 2 × 2 × 2 × x × x
96x⁵ = 2 × 2 × 2 × 2 × 2 × 3 × x × x × x × x × x
64x² = 2 × 2 × 2 × 2 × 2 × 2 × x × x
GCF = 2 × 2 × 2 × 2 × 2 × x × x
GCF = 32x²
Learn more about greatest common factor:
https://brainly.com/question/11444998