if t represents a number, which of the following represents the product of 2 more than 5 times a number and 4 less than 3 times a number? Be true to test a value of t.

1) 15t^2 +26t-8
2) 15t^2-14t-8
3) 15t^2-8
4)15t^2-26t-8

Respuesta :

Product of 2 more than 5 times a number and 4 less than 3 times a number =  15t² -  14t  -  8

If the number is represented by t

5 times the number = 5t

2 more than 5 times the number = 5t + 2

3 times the number = 3t

4 less than 3 times the number = 3t - 4

Product of 2 more than 5 times a number and 4 less than 3 times a number = (5t + 2)(3t - 4)

(5t + 2)(3t - 4) = 15t² - 20t + 6t - 8

(5t + 2)(3t - 4)  =  15t²  - 14t  -  8

Product of 2 more than 5 times a number and 4 less than 3 times a number =  15t² -  14t  -  8

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