factorise the given expression completely. 6x^2+7x-5
Answers
Answer:
(2x-1)(3x+5)
Step-by-step explanation:
6x^2 = 2x x 3x
-5 = 1 x -5
= -1 x 5
The answer to the factorisation is (2x-1)(3x+5)
Given : The algebraic expression is 6x²+7x-5
To find : The factorisation of the given algebraic expression.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to do the complete factorisation of the given algebraic expression)
Here, we will be using general algebraic methods and formulas. (formulas will be used if necessary)
So,
= 6x²+7x-5
= 6x²-3x+10x-5 [As, 7x = -3x+10x]
= 3x (2x-1) + 5 (2x-1)
= (2x-1) (3x+5)
(This cannot be further simplified. That's why this will be considered as the final result.)
Hence, the answer to the factorisation is (2x-1)(3x+5)