Ответ:
а)2(b+1)²-4b
(b+1)²=b²+2b+1
2(b²+2b+1)=2b²+4b+2
2b²+4b+2-4b=2b²+2=2(b²+1)
b)4a(a-2)-(a-4)²
(a-4)²=a²-8a+16
4a(a-2)=4a²-8a
4a²-8a-a²+8a-16=3a²-16
в)
(x-3)²=x²-6x+9
(x-1)(x+4)=x²+3x-4
(x-2)(x+2)=x²-4
x²-6x+9-x²-3x+4+x²-4=x²-9x+9
г)
(3-c)(3+c)=9-c²
(9-c²)(9+c²)=81-c⁴
(c-2)(c²+2c+4)=c³-8
81-c⁴-c³+8=89-c⁴-c³
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
а)2(b+1)²-4b
(b+1)²=b²+2b+1
2(b²+2b+1)=2b²+4b+2
2b²+4b+2-4b=2b²+2=2(b²+1)
b)4a(a-2)-(a-4)²
(a-4)²=a²-8a+16
4a(a-2)=4a²-8a
4a²-8a-a²+8a-16=3a²-16
в)
(x-3)²=x²-6x+9
(x-1)(x+4)=x²+3x-4
(x-2)(x+2)=x²-4
x²-6x+9-x²-3x+4+x²-4=x²-9x+9
г)
(3-c)(3+c)=9-c²
(9-c²)(9+c²)=81-c⁴
(c-2)(c²+2c+4)=c³-8
81-c⁴-c³+8=89-c⁴-c³