Factorize each of the following algebraic expressions:
49 – a2 + 8ab – 16b2
Given,
= 49 – (a2 – 8ab + 16b2)
= 49 – (a – 4b)2
By using the formula (a2 – b2) = (a + b) (a – b)
= (7 + a – 4b) (7 – a + 4b)
= -(a – 4b + 7) (a – 4b – 7)
