Answer:
The given quadratic equation \(t^2-t=12\) can be factorized as \((t+3)(t-4)\) using middle term splitting method.
Step-by-step explanation:
Consider the given quadratic equation \(t^2-t=12\)
It can be written as \(t^2-t-12=0\)
We can factorize it using middle term splitting method,
\(t^2-t-12=0\)
-t can be written as (-4t+3t ) such that their product is -12 then,
\(\Rightarrow t^2-4t+3t-12=0\)
\(\Rightarrow t(t-4)+3(t-4)=0\)
\(\Rightarrow (t+3)(t-4)=0\)
Thus, the given quadratic equation \(t^2-t=12\) can be factorized as \((t+3)(t-4)\) using middle term splitting method.
