Factorize each of the following algebraic expressions:49 - a2 + 8ab -

1.	Factorize each of the following algebraic expressions:49 - a2 + 8ab - 16b2
Answer» 49 – (a² – 8ab + 16b²) = 49 – (a – 4b)² We know: a² – b² = (a + b)(a-b) = (7 + a – 4b) (7 – a + 4b) = - (a – 4b + 7) (a – 4b – 7)

Factorize each of the following algebraic expressions:49 - a2 + 8ab - 16b2

Answer»

49 – (a² – 8ab + 16b²)

= 49 – (a – 4b)²

We know: a² – b² = (a + b)(a-b)

= (7 + a – 4b) (7 – a + 4b)

= - (a – 4b + 7) (a – 4b – 7)