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pls help me!!!!!! I don't know how to do this.

Pls Help Me I Dont Know How To Do This class=

Sagot :

Answer: 10) Fourth option

Step-by-step explanation:

10) [tex]\frac{t^2+2t-24}{t^2-36}[/tex]

Factor t^2 + 2t - 24

What two numbers add to 2 and multiply to -24?

6 and -4 so

(t + 6)(t - 4) is the factored form

t^2 - 36 factored is  => because of a^2 - b^2 = (a - b)(a + b)

[tex]\frac{(t + 6)(t - 4)}{(t + 6)(t - 6)} = \frac{t-4}{t-6}[/tex]

Since we cancelled out be t + 6, t + 6 ≠ 0, t ≠ -6

And since the denominator is t - 6, t - 6 ≠ 0, t ≠ 6

[tex]\frac{t-4}{t-6}[/tex] , t ≠ -6, t ≠ 6

#11 is similar, try that yourself :)