Basic Math Examples

$2 y^{2} + 10 y - 100$

Step 1

Factor $2$ out of $2 y^{2} + 10 y - 100$ .

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Step 1.1

Factor $2$ out of $2 y^{2}$ .

$2 (y^{2}) + 10 y - 100$

Step 1.2

Factor $2$ out of $10 y$ .

$2 (y^{2}) + 2 (5 y) - 100$

Step 1.3

Factor $2$ out of $- 100$ .

$2 y^{2} + 2 (5 y) + 2 \cdot - 50$

Step 1.4

Factor $2$ out of $2 y^{2} + 2 (5 y)$ .

$2 (y^{2} + 5 y) + 2 \cdot - 50$

Step 1.5

Factor $2$ out of $2 (y^{2} + 5 y) + 2 \cdot - 50$ .

$2 (y^{2} + 5 y - 50)$

Step 2

Factor.

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Step 2.1

Factor $y^{2} + 5 y - 50$ using the AC method.

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Step 2.1.1

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 50$ and whose sum is $5$ .

$- 5, 10$

Step 2.1.2

Write the factored form using these integers.

$2 ((y - 5) (y + 10))$

Step 2.2

Remove unnecessary parentheses.

$2 (y - 5) (y + 10)$