Question

Lowest common denominator 5/9-24t • 3t-2/8t^2+5t-3

Answer 1

we have the expression

`\frac{5}{9-24t^{}},(3t-2)/(8t^2+5t-3)`

simplify the first term

`\frac{5}{9-24t^{}}=\frac{5}{3(3-8t)^{}}=-\frac{5}{3(8t-3)^{}}`

simplify the second term

`(3t-2)/(8t^2+5t-3)=(3t-2)/(8(t+1)(t-0.375))=(3t-2)/((t+1)(8t-3))`

the LCD is equal to

-3(t+1)(8t-3)

option A