<u> -(к-1) </u> = <u> -1 </u><u>
</u>(к-1)(к+1) к+1<u>
</u>
, т.к.
, 1-a>0, т.к. a<1. Следовательно,
.
1. ab-3a+3b-9
16+4y-4y-y^2=-y^2+16
c^2+ cp-pc-p^2=c^2-p^2
2. 64b^2+8b-8b-1=64b^2-1
36b^2+12b-12b-4=36b^2-4=4(9b^2-1)
9+36a-36a-144a^2=9-144a^2
3. a^2-2ab+2ab-4b^2=a^2-4b^2
16x^2+8xy-2xy-y^2= 16x^2+6xy-y^2
4c^2+10ac-10ac-25a^2=4c^2-25a^2
4. 5ab+25a^2-b^2-5ab= 25a^2-b^2
5x-x^2+25-5x= -x^2+25
64b-64b^2-64+64b= -64b^2-64
1) 64а^2-9х^2+6х-1=(64а^2-1)-3х(3х-2)=(8а-1)(8а+1)-3х(3х-2);;;;;;;2) 25-m^2-8mn-16n^2=(25-16n^2)-m(m+8n)=(5-4n)(5+4n)-m(m+8n);;;;3) a^6+1+3а^2+3а^4=(а^3+1)^2+3а^2(1+а^2)