Question

(1+2a²) - 8a


Please answer this one

Answer 1

Answer:

This is the question of algebra.

The identity that will be used here is (a +b)² = a² + 2 a.b + b²

Given -  ( 1 + 2a )² - 8a

First expand ( 1+ 2a)² using the above identity

( 1+ 2a)² = 1 + 2 (1) (2a) + (2a)²

= 1 + 4a + 4a²

Now, the full given expression becomes 1 + 4a + 4a² - 8a

= 4a² - 4a + 1

On factorizing,

= 4a² - 2a -2a + 1

= 2a( 2a -1) - 1 ( 2a - 1)

= (2a - 1) ( 2a - 1)

a = 1/2, 1/2

Therefore, the value of a = 1/2.

Answer 2

(1+2a^2)-8a

=-8a-16a^3(Ans )