1-2a-35a² please answer can you please write this answer is copy and send don't write in answer pad please
Answers
Answer:
1-2a-35a² will factorize to give ( 1 - 7a) (5a + 1)
Step-by-step explanation:
Given equation 1-2a-35a²
Taking - common, we get
= - (-1 + 2a + 35a²)
This can also be written as - ( 35a² + 2a -1)
As this is a quadratic equation, we can factorise by splitting the middle term,
By middle term splitting,
Here, we find two numbers whose sum is +2 and whose multiplication is -35
Taking these numbers to be +7 and -5
We know that = 7 + (-5) = +2 and 7*(-5) = -35
Therefore,
=> - ( 35a² + 2a -1) = - ( 35a² + 7a - 5a -1)
= - [7a(5a +1) -1(5a+1)] (Taking common)
= - [ (7a - 1) (5a + 1) ] (Factorizing)
= ( 1 - 7a) (5a + 1) (Multiplication by '-'ve)
Therefore, 1-2a-35a² will factorize to give ( 1 - 7a) (5a + 1)