1. 1) ( р+8)^2= р^2+16 р+64. 3)(х-9)(х+9)=(х^2-81)
2) (10х-3у)^2=100х^2-60ху+9у^2. 4)(4m+7n)(7n-4m)=(16m^2-49n^2)
2.1)16-c^2=(4-c)(4+c) 3)9m^2-25=(3m-5)(3m+5)
2)p^2+2p+1=(p+1)^2. 4)36m^2+24mn+4n^4n^2=4(9m^2+6
3. (a-10)^2-(a-5)(a+5) =
a^2-20a+100- a^2-25 =
4. (2x-7)( x+1)+3(4x-1)(4x+1)=2(5x-2)^2-53
2x^2+2x-7x-7+3(16x^2-1)=2(25x^2-20x+4)-53
2x^2-5x+48x^2-50x^2+40x= -53+7+3+8
35x= - 35
x= -1
5. (3a+1)^2- (a+6)^2 =( (3a+1)-(a+6) ) ( (3a+1) +(a+6) )= (3a+1-a-6)(3a+1+a+6)=
(2a - 5)(4a+7)
6. (x-2)(2+x)(4+x^2)+(6-x^2)^2
(4-x^2)(4+x^2) +(6 -x^2)^2
(16 -x^4) +(36-12 x^2+ x^4
16- x^4+36-12 x^2+ x^4
52-12 x^2
52-(-1/2)^2=52-1/4=51 3/4