What is the product of 3a + 5 and 2a2 + 4a – 2?
Answers
Step-by-step explanation:
2a^2+4a-2
* 3a+5
6a^3+12a^2-6a
10a^2+20a-10
6a^3+22a^2-14a-10
May this help u mate!!
Given,
(3a+5) and (2a² + 4a -2)
To find,
The product of (3a+5) and (2a² + 4a -2).
Solution,
The product of (3a+5) and (2a² + 4a -2) will be (6a³ + 22a² + 14a - 10).
We can easily solve this problem by following the given steps.
Now, we know that when a number is given before a bracket then it is multiplied with all the digits in the bracket.
According to the question,
(3a + 5) (2a² + 4a -2)
3a (2a² + 4a -2) + 5 (2a² + 4a -2)
6a³ + 12a² - 6a + 10a² + 20a - 10 ( multiplying 3a and 5 into the respective brackets)
6a³ + 22a² + 14a - 10 ( The numbers with the same variables can be added and subtracted. So, we have added 12a² and 10a² and subtracted 6a from 20a.)
Hence, the product of (3a+5) and (2a² + 4a -2) is (6a³ + 22a² + 14a - 10).