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# Algebra Factorization

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Algebra

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Factorizaon
(1) 18x^2 – 2 = 2 ( 9x^2 – 1 )
= 2 (3x + 1) (3x – 1)
(2) ax + 3x – ay – 3y = x ( a + 3 ) – y ( a + 3 )
= ( a + 3 )( x – y )
(3) 2cx + dy + 2cy + dx = 2cx + 2cy + dx + dy
= 2c( x + y ) + d ( x + y)
= ( x + y )( 2c + d )
(4) a( x- y ) + b( y – x ) = ax – ay + by – bx
= ax – ay – bx + by
= a(x – y ) – b(x – y)
= (x – y )(a – b)
(5) 3x^3 + 3x^2 – x -1 = 3x^2( x + 1) – 1 (x + 1 )
= ( x + 1)(3x^2 – 1)
(6) a^2 – b^2 = a^2 + ab – ab - b^2
= a( a + b) – b( a – b )
= ( a + b)(a – b)
(7) 2x^7y^2 – 2x^3y^2 = 2x^3y^2( x^4 – 1)
= 2x^3y^2(x^2 + 1 )( x^2 – 1 )
= 2x^3y^2( x^2 + 1 )( x + 1 )( x – 1 )
(8) h^2 – k^2 - h + k = ( h + k )( h – k ) – ( h – k )
= ( h – k )(h + k – 1 )
(9) x^2 – 12x + 35 = x^2 – 7x – 5x +35
= x ( x – 7 ) – 5 ( x – 7 )
= ( x – 7 )( x – 5 )
(10) a^4 – a^2 – 12 = a^4 – 4a^2 + 3a^2 – 12
= a^2( a^2 – 4) + 3( a^2 – 4)
= (a^2 + 3) (a^2 – 4)
= (a^2 + 3) (a + 2) (a – 2)

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Anonymous
Awesome! Perfect study aid.

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