Precalculus Examples

$64 x^{2} + 48 x + 9$ and $64 x^{2} - 9$

Step 1

Add $64 x^{2}$ and $64 x^{2}$ .

$128 x^{2} + 48 x + 9 - 9$

Step 2

Subtract $9$ from $9$ .

$128 x^{2} + 48 x + 0$

Step 3

Add $128 x^{2} + 48 x$ and $0$ .

$128 x^{2} + 48 x$

Step 4

Factor $16 x$ out of $128 x^{2} + 48 x$ .

Tap for more steps...

Step 4.1

Factor $16 x$ out of $128 x^{2}$ .

$16 x (8 x) + 48 x$

Step 4.2

Factor $16 x$ out of $48 x$ .

$16 x (8 x) + 16 x (3)$

Step 4.3

Factor $16 x$ out of $16 x (8 x) + 16 x (3)$ .

$16 x (8 x + 3)$

Step 5

The greatest common factor $GCF$ is the term in front of the factored expression.

$16 x$