c) 2y ³ + 8y ² + 8y
d) x ³ – 64x
e) 8a ²xy – 18b ²xy
f) 32a ³b ³ – 4
g) x ² – 49z ² – 4xy + 4y ²
h) 3x ² + 6x + 3 – 3y ²
i) 12x ²y – 12y ³ + 36xy + 27y
c) 2y ³ + 8y ² + 8y
d) x ³ – 64x
e) 8a ²xy – 18b ²xy
f) 32a ³b ³ – 4
g) x ² – 49z ² – 4xy + 4y ²
h) 3x ² + 6x + 3 – 3y ²
i) 12x ²y – 12y ³ + 36xy + 27y
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@Meo_
c) $2y^{3}$ + $8y^{2}$ + 8y
= 2y($y^{2}$ + 4y + 4 )
d) x ³ – 64x
= x($x^{2}$ + 64 )
e) 8a ²xy – 18b ²xy
= 2xy( 4a ² – 9b ² )
f) 32a ³b ³ – 4
= 4(8a ³b ³ – 1 )
g) x ² – 49z ² – 4xy + 4y ²
= ( x ² – 4xy + 4y ² ) – 49z ²
= ( x – y ) ² – 49z²
= ( x – y ) ² – ( 7z )²
= ( x – y – 7z ) ( x – y + 7z )
h) 3x ² + 6x + 3 – 3y ²
= ( 3x ² + 6x + 3 ) – 3y ²
= [ 3 ( x² + 2x + 1 ) ] – 3y ²
= 3 ( x² + 2x + 1 – y ² )
i) 12x ²y – 12y ³ + 36xy + 27y
= ( 12x ²y – 12y ³ ) + ( 36xy + 27y )
= 12y( x² – y² ) + 9(4x + 3)
= 3 [ 4y( x² – y² ) + 3(4x + 3) ]