What is 2sqrt(t+1)sqrt(12-t) ?

The solution to 2sqrt(t+1)sqrt(12-t) is 2sqrt((t+1)(-t+12))

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simplify 2sqrt(t+1)sqrt(12-t)

simplify

2 t + 1 12 - t

2 (t + 1) (- t + 12)

Solution steps

2 t + 1 12 - t

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

t + 1 - t + 12 = (t + 1) (- t + 12)

= 2 (t + 1) (- t + 12)

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What is 2sqrt(t+1)sqrt(12-t) ?
The solution to 2sqrt(t+1)sqrt(12-t) is 2sqrt((t+1)(-t+12))