Question

$\blue{\large \tt{question \leadsto}}$
factorise

a-b-4a²+4b²
​

Answer 1

Step-by-step explanation:

Factorization :

4x² - 4bx - (a² - b²) = 0

4x² - 4bx + b² - a² = 0

(2x - b)² - a² = 0

Use x² - y² = ( x - y) ( x + y)

( 2x - b - a) ( 2x - b + a) = 0

Answer 2

Step-by-step explanation:

$a - b - 4 {a}^{2} + 4 {b}^{2} \\ \\ = (a - b) - 4( {a}^{2} - {b}^{2} ) \: \: \: ( - 4 \: commun) \\ \\ = (a - b) - 4( a+ b)(a -b ) \\ \\ = ( a- b)(1 - 4a - 4b) \\ \\ formula \: \: - \: \: \: (x {}^{2} - y {}^{2} ) = (x + y)(x - y)$