Basic Math Examples

$\frac{y^{2} + 10 y + 16}{y^{2 + 16 y + 64}}$

Step 1

Factor $y^{2} + 10 y + 16$ using the AC method.

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Step 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 $16$ and whose sum is $10$ .

$2, 8$

Step 1.2

Write the factored form using these integers.

$\frac{(y + 2) (y + 8)}{y^{2 + 16 y + 64}}$

Step 2

Add $2$ and $64$ .

$\frac{(y + 2) (y + 8)}{y^{16 y + 66}}$