Question

1. Factor the given expressions using
identity
(1) m2 + 8m + 16
(ii) 4x2 - 4x + 1
(iii) x4 + 9y4 + 6x2y2
(iv) (a4 -8a2b2 + 16b4) - 18
(v) 256 - X2 - 2xy - y2​

Answer 1

Answer:

(1) m2 + 8m + 16

m2 + 4m + 4m + 16

m ( m + 4 ) + 4( m + 4 )

( m + 4 ) ( m + 4 )

(2) 4x2 - 4x + 1

4x2 - 2x - 2x + 1

2x ( 2x - 1 ) - 1 ( 2x - 1 )

( 2x - 1 ) ( 2x - 1 )

(3) x4 + 9y4 + 6x2y2

( x2) 2 + ( 3y2)2 + 2 ( x2 ) ( 3y2)

# ( x2 + 3y²)

Hope these help