Q1 of 52 Page 131

Let’s resolve into factors:

6(x-y)2-x + y-15


6(x-y)2-x + y-15


=6(x-y)2-(x-y)-15


=6(x-y)2-10(x-y) + 9(x-y)-15


=2(x-y){3(x-y)-5} + 3{3(x-y)-5}


=[{2(x-y) + 3}{3(x-y)-5}]


=[2x-2y+3][3x-3y-5]


∴ the factors of 6(x-y)2-x + y-15 are [2x-2y+3][3x-3y-5]


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