Step-by-step explanation: If I replace the variables with the numbers, the equation would be: 36+(4x2x3)/36-(4x2x3). First, solve the numbers in the parentheses. Both numbers in the parenthesis equals 24 because 4x2 is 8 and 8x3 is 24. Then, 36+24/36-24. PEMDAS, so 24/36 is 0.666666666667. Then 36+0.666666666667 is 36.666666666667. Next, 36.666666666667 minus 24 is 12.666666666667.
Answer:
5(5k²+6)(4k-3)
Step-by-step explanation:
100k³ - 75k² + 120k - 90
Take 5 common above:
= 5(20k³ - 15k² + 24k - 18) ------- eq1
First let simplify 20k³ - 15k² + 24k - 18
= (20k³ - 15k²) + (24k - 18) ---------eq2
Factor out 6 from 24k - 18 :
6(4k-3)
Factor out 5k² from (20k³ - 15k²):
5k²(4k -3)
eq2 becomes: = 6(4k-3) + 5k²(4k -3)
Factor out common term 4k-3
(6+ 5k²)(4k -3) or (5k²+6)(4k-3)
Thus eq1 becomes:
5(5k²+6)(4k -3)