Precalculus Examples

$25 x^{2} + 40 x + 16$ and $25 x^{2} - 16$

Step 1

Add $25 x^{2}$ and $25 x^{2}$ .

$50 x^{2} + 40 x + 16 - 16$

Step 2

Subtract $16$ from $16$ .

$50 x^{2} + 40 x + 0$

Step 3

Add $50 x^{2} + 40 x$ and $0$ .

$50 x^{2} + 40 x$

Step 4

Factor $10 x$ out of $50 x^{2} + 40 x$ .

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Step 4.1

Factor $10 x$ out of $50 x^{2}$ .

$10 x (5 x) + 40 x$

Step 4.2

Factor $10 x$ out of $40 x$ .

$10 x (5 x) + 10 x (4)$

Step 4.3

Factor $10 x$ out of $10 x (5 x) + 10 x (4)$ .

$10 x (5 x + 4)$

Step 5

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

$10 x$