Factor -16t^2+64t+192

$- 16 t^{2} + 64 t + 192$

Step 1

Factor $- 16$ out of $- 16 t^{2} + 64 t + 192$ .

Factor $- 16$ out of $- 16 t^{2}$ .

$- 16 (t^{2}) + 64 t + 192$

Factor $- 16$ out of $64 t$ .

$- 16 (t^{2}) - 16 (- 4 t) + 192$

Factor $- 16$ out of $192$ .

$- 16 (t^{2}) - 16 (- 4 t) - 16 (- 12)$

Factor $- 16$ out of $- 16 (t^{2}) - 16 (- 4 t)$ .

$- 16 (t^{2} - 4 t) - 16 (- 12)$

Factor $- 16$ out of $- 16 (t^{2} - 4 t) - 16 (- 12)$ .

$- 16 (t^{2} - 4 t - 12)$

Step 2

Factor.

Factor $t^{2} - 4 t - 12$ using the AC method.

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 $- 12$ and whose sum is $- 4$ .

$- 6, 2$

Write the factored form using these integers.

$- 16 ((t - 6) (t + 2))$

Remove unnecessary parentheses.

$- 16 (t - 6) (t + 2)$

Factor -16t^2+64t+192

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