A²-2a+18-9a=a(a-2)-9(a-2)=(a-2)(a-9)
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a^5b²+27a²b^5=a²b²(a³+27b³)=a²b²(a+3b)(a²-3ab+9b²)
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(3x+1)(x-1)-(3x-1)(3x+1)=(3x+1)(x-1-3x+1)=(3x+1)(-2x)
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(2a-3b)²-2(a+b)²=(2a-3b-√2a-√2b)(2a-3b+√2a+√2b)
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(4a+1)²(4a-1)²=(16a²+1)²-64a²
(16a²+1)-64a²=(16a²+1-8a)(16a²+1+8a)=((4a-1)²(4a+1)²
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64x²-48x-25y²-30y=(8x-5y)(8x+5y)-6(8x+5y)=(8x+5y)(8x-5y-6)
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18a²+24a+8-200b²=2(9a²+12a+4)-2*100b²=2(3a+2)²-2*100b²=
=2(3a+2-10b)(3a+2+10b)