8 x power 4 + 14 x square - 4
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Hii friend,
=> Find GCF:
The GCF = 2, as the largest number that divides 8x^4, 14x^2, and -4 is 2 .
=> Factor out GCF:
2 ( 8x^4 / 2 + 14x^2 / 2 - 4 / 2 )
=> Simplify each term:
2 ( 4x^4 + 7x^2 - 2 )
=> Split the second term into 2:
2 ( 4x^2 + 8x^2 - x^2 - 2 )
=> Factor out:
2 ( 4x^2 ( x^2 + 2 ) - ( x^2 + 2 ) )
=> Factor out in x^2 + 2:
2( x^2 + 2 ) ( 4x^2 - 1 )
=> Rewrite in form of a^2 - b^2:
2 ( x^2 + 2 ) ( ( 2x )^2 - 1^2
=> Use difference of squares:
a^2 - b^2 = ( a + b ) ( a - b )
2 ( x^2 + 2 ) ( 2x + 1 ) ( 2x - 1 )
=> Find GCF:
The GCF = 2, as the largest number that divides 8x^4, 14x^2, and -4 is 2 .
=> Factor out GCF:
2 ( 8x^4 / 2 + 14x^2 / 2 - 4 / 2 )
=> Simplify each term:
2 ( 4x^4 + 7x^2 - 2 )
=> Split the second term into 2:
2 ( 4x^2 + 8x^2 - x^2 - 2 )
=> Factor out:
2 ( 4x^2 ( x^2 + 2 ) - ( x^2 + 2 ) )
=> Factor out in x^2 + 2:
2( x^2 + 2 ) ( 4x^2 - 1 )
=> Rewrite in form of a^2 - b^2:
2 ( x^2 + 2 ) ( ( 2x )^2 - 1^2
=> Use difference of squares:
a^2 - b^2 = ( a + b ) ( a - b )
2 ( x^2 + 2 ) ( 2x + 1 ) ( 2x - 1 )
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