Question
Solve:
$ 25 x^2-10 x+1-36 y^2 $
$ 25 x^2-10 x+1-36 y^2 $
✓
Answer
$ 25 x^2-10 x+1-36 y^2 $
$ =\left(25 x^2-10 x+1\right)-36 y^2 $
$ =\left[(5 x)^2-2 \times 5x \times 1+1\right]-36 y^2 $
$ =(5 x-1)^2-(6 y)^2 $
$ =[(5 x-1)-6 y][(5 x-1)+6 y] $
$ =(5 x-1-6 y)(5 x-1+6 y) $
$ =(5 x-6 y-1)(5 x+6 y-1) $
$ =\left(25 x^2-10 x+1\right)-36 y^2 $
$ =\left[(5 x)^2-2 \times 5x \times 1+1\right]-36 y^2 $
$ =(5 x-1)^2-(6 y)^2 $
$ =[(5 x-1)-6 y][(5 x-1)+6 y] $
$ =(5 x-1-6 y)(5 x-1+6 y) $
$ =(5 x-6 y-1)(5 x+6 y-1) $
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