Автор - granola79
Ответ:
Объяснение:
1). (x+4)²=x²+8x+16
(a-2b)²=a²-4ab+4b²
(3y+5)(3y-5)=9y²-25
2). (c-2)(c+3)-(c-1)²=c²+3c-2c-6-c²+2c-1=c-7+2c=3c-7
3(a+c)²-6ac=3(a²+2ac+c²)-6ac=3a²+6ac+3c²-6ac=3(a²+c²)
3). 16a²-9=(4a)²-3²=(4a-3)(4a+3)
3x^3 -75x=3x(x^2 -25)=3x(x-5)(x+5)
2x²+4xy+2y²=2(x²+2xy+y²)=2(x+y)²
4). (6x-x²)²-x²(x-1)(x+1)+6x(3+2x²)=x²(6-x)²-x²(x²-1)+6x(3+2x²)=x(x(36-12x+x²)-x(x²-1))+6(3+2x²))=x(36x-12x²+x^3 -x^3 +x+18+12x²)=x(37x+18)
1.
(х+4)²=x²+ 2*4x+16=x²+ 8x+16
(a-2b)²= a²-2*2ab+4b²=a²-4ab+4b²
(3y+5)(3y-5)=9y²-25
2.
(c-2)(c+3)-(c-1)²=c²+3c-2c-6-c²+2c-1=3c-7
3(a+c)²-6ac=3(a²+2ac+c²)-6ac=3a²+6ас+3c²-6ac=3(a²+c²)
3.
16a²-9=(4a-3)(4a+3)
3x³-75x=3x(x²-25)=3x(x-5)(x+5)
2x²+4xy+2y²=2(x²+2xy+y²)=2(x+y)²
4.
(6x-x²)²-x²(x-1)(x+1)+6x(3+2x²)= 36x²-12x³+x^4- x²(x²-1)+18x+12x³=36x²-12x³+x^4- x^4+x²+18x+12x³=36x²+18x+x²=37x²+18x=х(37х+18)
Объяснение:
a²-b²=(a-b)(a+b)
(a+b)²=a²+2ab+b²
(a-b)²=a²-2ab+b²