Find the HCF from a^3 - a^2 + a - 1 and 2a^3 - a^2 + a - 2
Hello my friend! How can i solve this?
1st expression:
= a3 - a2 + a - 1
= ...?
Pls help. Thank u. Nice day!
Hello my friend! How can i solve this?
1st expression:
= a3 - a2 + a - 1
= ...?
Pls help. Thank u. Nice day!
Hello friend! It's pretty easy. U just need to practice more, and I guess u r on right track.
For this question, in the 1st expression, we just need to take a common.
For 2nd expression, it's lil tricky. If u take the common from first 2 expression, it will not get solved. U need to take the 1st & last expression and take the common. Below is the solution.
1st expression:
= a3 - a2 + a - 1
= a2(a - 1) + 1(a - 1)
= (a - 1)(a2 + 1)
2nd expression:
= 2a3 - a2 + a - 2
= 2(a3 - 1) - a(a - 1)
= 2(a - 1)(a2 + a + 1) - a(a - 1)
= (a - 1){2(a2 + a + 1) - a}
Here, common factor from both expression is (a - 1). So our answer is (a - 1)
Video explanation: