Algebra Examples

$10 x^{2} y + 2 x y^{2} - 4 x^{2} - 4 x^{2} y$

Step 1

Factor out the GCF of $2 x$ from $10 x^{2} y + 2 x y^{2} - 4 x^{2} - 4 x^{2} y$ .

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Step 1.1

Factor out the GCF of $2 x$ from each term in the polynomial.

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Step 1.1.1

Factor out the GCF of $2 x$ from the expression $10 x^{2} y$ .

$2 x (5 x y) + 2 x y^{2} - 4 x^{2} - 4 x^{2} y$

Step 1.1.2

Factor out the GCF of $2 x$ from the expression $2 x y^{2}$ .

$2 x (5 x y) + 2 x (y^{2}) - 4 x^{2} - 4 x^{2} y$

Step 1.1.3

Factor out the GCF of $2 x$ from the expression $- 4 x^{2}$ .

$2 x (5 x y) + 2 x (y^{2}) + 2 x (- 2 x) - 4 x^{2} y$

Step 1.1.4

Factor out the GCF of $2 x$ from the expression $- 4 x^{2} y$ .

$2 x (5 x y) + 2 x (y^{2}) + 2 x (- 2 x) + 2 x (- 2 x y)$

Step 1.2

Since all the terms share a common factor of $2 x$ , it can be factored out of each term.

$2 x (5 x y + y^{2} - 2 x - 2 x y)$

Step 2

Subtract $2 x y$ from $5 x y$ .

$2 x (3 x y + y^{2} - 2 x)$