Q32 of 111 Page 6

Factorize:

7(x-2y)2-25(x-2y)+12

Given,


7(x – 2y)2 – 25 (x – 2y) + 12


Let a = (x – 2y),


So we have,


= 7a2 – 25a + 12


= 7a2 – 21a – 4a + 12


= 7a(a - 3) -4 (a - 3)


= (7a – 4) (a - 3)


Put a = (x – 2y)


= {7(x – 2y) – 4} (x – 2y - 3)


= (7x – 14y -4) (x – 2y - 3)


More from this chapter

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30

Factorize:

2x2+3x+531.9(2a-b)2-4(2a-b)-13

 31

Factorize:

9(2a – b)2 –4 (2a – b) – 13

 33

Factorize:

2(x+y)2-9(x+y)-5

 34

Give possible expressions for the length and breadth of the rectangle having 35y2+13y-12 as its area.