1) а) (x+4)'2
x'2+2x×4+4'2
x'2+8x+16
б) (3b-c)'2
(3b)'2-2×3bc+c'2
9b'2-6bc+c'2
в) (2y+5)(2y-5)
(2y)'2-5'2
4y'2-25
г) (y'2-x)(y'2+x)
(y'2)'2-x'2
y'4-x'2
2) a) 1/9-a'2
1/9×(1-9a'2)
1/9×(1-3a)×(1+3a)
б) b'2+10b+25
b'2+2×b×5+5'2
(b+5)'2
4) a) 3(1+2xy)(1-2xy)
3(1-4x'2y'2)
3-12x'2y'2
б) (x'2+y'3)'3
(x'2)'2+2x'2y'3+(y'3)'2
x'4+2x'2y'3+y'6
в) (a+b)'2-(a-b)'2
2b×2a
4ab
5) а) (4x-3)(4x+3)-(4x-1)'2=3x
16x'2-9-(16x'2-8x+1)=3x
16x'2-9-16x'2+8x-1=3x
-10+8x=3x
8x-3x=10
5x=10
x=2
б) 16c'2-49=0
16c'2=49
c'2=49/16
c=+_7/4
c=7/4
c,1=-7/4,c,2=7/4
1) а) (x+4)'2
x'2+2x×4+4'2
x'2+8x+16
б) (3b-c)'2
(3b)'2-2×3bc+c'2
9b'2-6bc+c'2
в) (2y+5)(2y-5)
(2y)'2-5'2
4y'2-25
г) (y'2-x)(y'2+x)
(y'2)'2-x'2
y'4-x'2
2) a) 1/9-a'2
1/9×(1-9a'2)
1/9×(1-3a)×(1+3a)
б) b'2+10b+25
b'2+2×b×5+5'2
(b+5)'2
4) a) 3(1+2xy)(1-2xy)
3(1-4x'2y'2)
3-12x'2y'2
б) (x'2+y'3)'3
(x'2)'2+2x'2y'3+(y'3)'2
x'4+2x'2y'3+y'6
в) (a+b)'2-(a-b)'2
2b×2a
4ab
5) а) (4x-3)(4x+3)-(4x-1)'2=3x
16x'2-9-(16x'2-8x+1)=3x
16x'2-9-16x'2+8x-1=3x
-10+8x=3x
8x-3x=10
5x=10
x=2
б) 16c'2-49=0
16c'2=49
c'2=49/16
c=+_7/4
c=7/4
c,1=-7/4,c,2=7/4