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How does \[t ^{2}-15\] Becomes \[(t-\sqrt{15})(t+\sqrt{15})\]
hey saum it's a matter of finding factors within an equation: it the factors of 20 are 4x5, or 10x2 or 20x1, its just another way of writing something
therefore the above equation you wrote is called a quadratic equation, and comes in the form : \[y = a x^{2} + bx + c\]
this can always be factored (though not always cleanly) into: (x + something) multiplied by (x + something)
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yours becomes this :(t−√15)(t+√15) as when you times it out: (using FIFO rules) it becomes t^2 -√15t +√15t - (√15)^2 =t^2 + 0t - 15 =t^2 - 15
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