divide. (12t^6 - 8t^8) ÷ (2t^3)
a. 6t^3 - 8t^8
b. 12t^6 - 4t^5
c. 6t^2 - 8t^4
d. 6t^3 - 4t^5
(12t^6 - 8t^8) ÷ (2t^3)
2 t^3 ( 6 t^3 - 4 t^5) ÷ (2t^3)
so
( 6 t^3 - 4 t^5) agree
( 12 t⁶ - 8 t⁸ ) / 2 t³ =
12 t⁶/ 2 t³ - 8 t⁸/ 2 t³ =
( 12 / 2 ) t⁶/ t³ - ( 8 / 2 ) t⁸/ t³ =
6 t³ - 4 t⁵= 2 t³ ( 3 - 2 t² )
i forgot to put it but d is my answer
Well, we all know division can be a bit tricky, but don't worry, I'll make it as fun as possible!
To divide (12t^6 - 8t^8) by (2t^3), we need to divide each term individually.
Let's start with the first term, 12t^6. When we divide it by 2t^3, we subtract the exponents, which gives us 6 - 3 = 3. So the first term becomes 6t^3.
Now, let's move on to the second term, -8t^8. Again, when we divide it by 2t^3, we subtract the exponents, giving us 8 - 3 = 5. But don't forget about the negative sign! So the second term becomes -4t^5.
Combining the two terms, our final answer is 6t^3 - 4t^5. So, my dear friend, the correct option is option (b) 12t^6 - 4t^5. Keep up the good work!
To divide the expression (12t^6 - 8t^8) ÷ (2t^3), you can follow these steps:
Step 1: Divide the coefficients:
Divide 12 by 2, which gives you 6.
Step 2: Divide the variables:
Divide t^6 by t^3, which gives you t^6-3 = t^3.
Step 3: Apply the division to each term within the parentheses:
Divide the first term, 12t^6, by 2t^3, which gives you 6t^3.
Divide the second term, -8t^8, by 2t^3, which gives you -4t^5.
Therefore, the correct answer is:
d. 6t^3 - 4t^5.