nomer 1
а)2p²-98a²=2(p²-49a²)=2(p-7a)•(p+7a)
b)50b-2a²b=2b•(25-a²)=2b•(5-a)•(5+a)
в)4xm²-16xm+16x=4x•(m²-4m+4)=4x•(m-2)²
г)10ax-5bx+2ay-by=5x•(2a-b)+y•(2a-b)=(2a-b)•(5x+y)
д)2x-xy+2y-y²=x•(2-y)+y•(2-y)=(2-y)•(x+y)
e)16x³-2=2(8x³-1)=2(2x-1)•(4x²+2x+1)
nomer 2
a)x²-36=0
x²=36
x=±6
x=-6
x=6
x1=-6, x2=6
b)112y-7y³=0
7y•(16-y²)=0
y•(16-y²)=0
y=0
16-y²=0
y=-4
y=4
y1=-4 , y2=0, y3=4
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Answers & Comments
nomer 1
а)2p²-98a²=2(p²-49a²)=2(p-7a)•(p+7a)
b)50b-2a²b=2b•(25-a²)=2b•(5-a)•(5+a)
в)4xm²-16xm+16x=4x•(m²-4m+4)=4x•(m-2)²
г)10ax-5bx+2ay-by=5x•(2a-b)+y•(2a-b)=(2a-b)•(5x+y)
д)2x-xy+2y-y²=x•(2-y)+y•(2-y)=(2-y)•(x+y)
e)16x³-2=2(8x³-1)=2(2x-1)•(4x²+2x+1)
nomer 2
a)x²-36=0
x²=36
x=±6
x=-6
x=6
x1=-6, x2=6
b)112y-7y³=0
7y•(16-y²)=0
y•(16-y²)=0
y=0
16-y²=0
y=0
y=-4
y=4
y1=-4 , y2=0, y3=4