Question

Сделайте все плз)) Если не сложно

Answer 1

$2.\\ 1) \ 36b^2-64= (6b-8)(6b+8)\\2) \ -4y^{14}+49y^6=49y^6-4y^{14}=y^6(49-4{y^8})=\\y^6(7-2y^4)(7+2y^4)\\ 3) \ 64x^8-64x^4y^7+16y^{14}=(8x^4-4y^7)^2\\ \\ 3.\\ 1) \ (2x+5)(x-6)+2(3x+2)(3x-2)=5(2x+1)^2+11\\2x^2-12x+5x-30+2(9x^2-4)=5(4x^2+4x+1)+11\\2x^2-12x+5x-30+18x^2-8=20x^2+20x+5+11\\ 2x^2-12x+5x-30+18x^2-8-20x^2-20x-5-11=0\\ -27x-54=0\\ -27x=54\\ x=54:(-27)\\ x=-2\\ \\ 2) \ (4x+3)^2-49=0\\ (4x+3)^2=49\\ a) 4x+3=7\\ 4x=4\\ x=1\\ b)4x+3=-7\\ 4x=-7-3\\ 4x=-10\\ x=-2.5$
$3)(7y-5)^2-(2y+6)^2=0\\ (7y-5+2y+6)(7y-5-2y-6)=0\\ (9y+1)(5y-11)=0\\ a)9y+1=0\\ 9y=-1\\ y=-\frac19\\ b)5y-11=0\\ 5y=11\\ y=2.2\\ \\ 4) \ (x-4)^2+(x+8)^2=2(4-x)(x+8)\\ x^2-8x+16+x^2+16x+64=8x+64-2x^2-16x\\ x^2-8x+16+x^2+16x+64-8x-64+2x^2+16x=0\\ 4x^2+16x+16=0 \ |:4\\ x^2+4x+4=0\\ (x+2)^2=0\\ x+2=0\\ x=-2$